Updated on 2024/04/02

写真a

 
ABE Ken
 
Organization
Graduate School of Science Department of Mathematics Associate Professor
School of Science Department of Mathematics
Title
Associate Professor
Affiliation
Institute of Science
Affiliation campus
Sugimoto Campus

Position

  • Graduate School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

  • School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

Degree

  • 数理科学 ( The University of Tokyo )

Professional Memberships

Awards

  • 南部陽一郎若手研究奨励賞

    2017.09  

Job Career (off-campus)

  • Kyoto University    Center for the Promotion of Interdisciplinary Education and Research/ Department of Mathematics Department of Science   Program-Specific Assistant Professor

    2015.04 - 2017.03

  • Nagoya University   Graduate School of Mathematics   JSPS Fellow PD

    2014.04 - 2015.03

  • The University of Tokyo   Graduate School of Mathematical Sciences   JSPS Fellow PD

    2013.10 - 2014.03

  • The University of Tokyo   Graduate School of Mathematical Sciences   JSPS Fellow DC2

    2012.04 - 2013.09

Papers

  • Existence of homogeneous Euler flows of degree −α∉[−2,0] Reviewed

    Ken Abe

    Arch. Rational Mech. Anal.   2023.05

     More details

    Authorship:Lead author, Last author, Corresponding author   Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    arXiv:2305.05987

  • Stability of Chandrasekhar's nonlinear force-free fields

    Ken Abe

    2022.06

     More details

    Authorship:Lead author  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Reviewed

    J. Math. Phys.   63   041507   2022.04

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: https://doi.org/10.1063/5.0087152

  • On the large time $L^{¥infty}$-estimates of the Stokes semigroup in two-dimensional exterior domains Reviewed

    K. Abe

    J. Differ. Equ.   300   337 - 355   2021

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Existence of vortex rings in Beltrami flows Reviewed

    Ken Abe

    Commun. Math. Phys.   2020.08

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Vanishing viscosity limits for axisymmetric flows with boundary Reviewed

    K. Abe

    J. Math. Pures Appl.   2020.01

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Liouville theorems for the Stokes equations with applications to large time estimates Reviewed

    K. Abe

    J. Funct. Anal.   2020.01

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Stability of Lamb dipoles Reviewed

    K. Abe, K. Choi

    Arch. Rational Mech. Anal.   244   877 - 917   2019.11

     More details

    Publishing type:Research paper (scientific journal)  

    DOI: https://doi.org/10.1007/s00205-022-01782-4

  • The vorticity equations in a half plane with measures as initial data

    K. Abe

    arXiv   2019.04

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder Reviewed

    K. Abe

    Manuscripta Math.   2019

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • Axisymmetric flows in the exterior of a cylinder Reviewed International coauthorship

    Ken Abe and Gregory Seregin

    Proceedings A of the Royal Society of Edinburgh   2019

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • Global Well-Posedness of the Two-Dimensional Exterior Navier-Stokes Equations for Non-decaying Data Reviewed

    Abe Ken

    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS   227 ( 1 )   69 - 104   2018.01( ISSN:0003-9527

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s00205-017-1157-5

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Reviewed

    K. Abe

    Arch. Rational Mech. Anal.   227   69 - 104   2018

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Reviewed

    K. Abe

    Arch. Rational Mech. Anal.   2018

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • Exterior Navier-Stokes flows for bounded data Reviewed

    Ken Abe

    WILEY-V C H VERLAG GMBH MATHEMATISCHE NACHRICHTEN   290 ( 7 )   972 - 985   2017.05( ISSN:0025-584X

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    We prove unique existence of mild solutions on L-sigma(infinity) for the Navier-Stokes equations in an exterior domain in R-n, n >= 2, subject to the non-slip boundary condition. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

    DOI: 10.1002/mana.201600132

  • On the Stokes resolvent estimates for cylindrical domains Reviewed

    Ken Abe, Yoshikazu Giga, Katharina Schade, Takuya Suzuki

    SPRINGER BASEL AG JOURNAL OF EVOLUTION EQUATIONS   17 ( 1 )   17 - 49   2017.03( ISSN:1424-3199

     More details

    Publishing type:Research paper (scientific journal)  

    This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space C-0,(sigma) the L-infinity-closure of all smooth compactly supported solenoidal vector fields. These domains are not strictly admissible in the sense of the first two authors (Abe and Giga in J Evol Equ 14:1-28, 2014). However, it is shown that these domains are still admissible which yields the analyticity in C-0,C-sigma. A new proof based on a blow-up argument is given to derive an L-infinity-type resolvent estimate which enables us to conclude that the analyticity angle of the Stokes semigroup in C-0,C-sigma is pi/2.

    DOI: 10.1007/s00028-016-0350-6

  • Exterior Navier-Stokes flows for bounded data Reviewed

    K. Abe

    Math. Nachr.   2017

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • On estimates for the Stokes flow in a space of bounded functions Reviewed

    K. Abe

    J. Differ. Equ.   2016

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • On estimates for the Stokes flow in a space of bounded functions Reviewed

    K. Abe

    J. Differ. Equ.   261   1756 - 1795   2016

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1016/j.jde.2016.04.013

  • On the Stokes resolvent estimates for cylindrical domains Invited Reviewed International coauthorship

    K. Abe, Y. Giga, K. Shade, T. Suzuki

    J. Evol. Equ.   2016

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • The Navier-Stokes equations in a space of bounded functions Reviewed

    K. Abe

    Commun. Math. Phys   338   849 - 865   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s00220-015-2349-1

  • Stokes resolvent estimates in spaces of bounded functions Reviewed

    K. Abe, Y. Giga, M. Hieber

    Ann. Sci. 'Ec. Norm. Sup'er.   48   537 - 559   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On the Stokes semigroup in some non-Helmholtz domain Reviewed

    K. Abe, Y. Giga, K. Shade, T. Suzuki

    Archiv der Mathematik   104   177 - 187   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s00013-015-0729-6

  • Stokes resolvent estimates in spaces of bounded functions Reviewed International coauthorship

    K. Abe, Y. Giga, M. Hieber

    Ann. Sci. 'Ec. Norm. Sup'er.   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • The Navier-Stokes equations in a space of bounded functions Reviewed

    K. Abe

    Commun. Math. Phys   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • On the Stokes semigroup in some non-Helmholtz domain Reviewed International coauthorship

    K. Abe, Y. Giga, K. Shade, T. Suzuki

    Archiv der Mathematik   2015

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • The L^{infty}-Stokes semigroup in exterior domains Reviewed

    K. Abe, Y. Giga

    J. Evol. Equ.   14   1 - 28   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s00028-013-0197-z

  • Some uniqueness result of the Stokes flow in a half space in a space of bounded functions Reviewed

    K. Abe

    Discrete Contin. Dyn. Syst. Ser. S   ( 7 )   887 - 900   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.3934/dcdss.2014.7.887

  • Some uniqueness result of the Stokes flow in a half space in a space of bounded functions Reviewed

    K. Abe

    Discrete Contin. Dyn. Syst. Ser. S   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • The L^{infty}-Stokes semigroup in exterior domains Reviewed

    K. Abe, Y. Giga

    J. Evol. Equ.   2014

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • Analyticity of the Stokes semigroup in spaces of bounded functions Reviewed

    K. Abe, Y. Giga

    Acta Math.   211   1 - 46   2013

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

    DOI: 10.1007/s11511-013-0098-6

  • Analyticity of the Stokes semigroup in spaces of bounded functions Reviewed

    K. Abe, Y. Giga

    Acta Math.   2013

     More details

    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

▼display all

Books and Other Publications

  • The Stokes semigroup on non-decaying spaces = 非減衰空間上のストークス半群

    阿部 健( Role: Sole author)

    東京大学数理科学研究科  2013 

     More details

    Book type:Scholarly book

MISC

  • 有界な初期値に対する外部ナヴィエ・ストークス流 Reviewed

    阿部 健

    日本数学会2016年度秋季総合分科会関数方程式分科会講演アブストラクト   2016.09

     More details

    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Kind of work:Single Work  

  • 外部領域における軸対称ナヴィエ・ストークス流の正則性について Reviewed

    阿部 健

    日本数学会2016年度年会関数方程式分科会講演アブストラクト   2016.03

     More details

    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Kind of work:Single Work  

  • 有界関数空間上のストークス流の評価について Reviewed

    阿部 健

    日本数学会2014年度秋季総合分科会関数方程式分科会講演アブストラクト   2014.09

     More details

    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Kind of work:Single Work  

  • The Reviewed

    Ken Abe

    2012.09

     More details

    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Kind of work:Single Work  

  • Analyticity of the Stokes semigroup in spaces of bounded functions

    Ken Abe

    2011.10

     More details

    Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Kind of work:Single Work  

Presentations

  • Existence of homogeneous Euler flows of degree -α ∉ [-2,0] Invited International conference

    Ken Abe

    The Grad Conjecture in Fluid Mechanics and Magnetohydrodynamics: Theory and Applications  2024.03  K. Abe, N.Sato, M. Yamada, T. Yokoyama, Z.Yoshida

     More details

    Presentation type:Oral presentation (invited, special)  

    Venue:I-site Namba  

  • Existence of homogeneous Euler flows of degree -α ∉ [-2,0] Invited International conference

    Ken Abe

    Fluids in Seoul 2024   2024.01  N.-G. Kang, J. La, I.-J. Jeong, and Kim, J.

     More details

    Presentation type:Oral presentation (invited, special)  

    Venue:June E Huh Center for Mathematical Challenges (HCMC)  

  • Existence of homogeneous Euler flows of degree -α ∉ [-2,0] Invited International conference

    Ken Abe

    Recent Progress on Mathematical Fluid Dynamics   2023.07  K. Choi and M. Kang

     More details

    Presentation type:Oral presentation (invited, special)  

    Venue:Jeju Shinhwa world  

  • Stability of Chandrasekhar's nonlinear force-free fields Invited International coauthorship International conference

    RIMS workshop: Analysis of fluid dynamical PDEs  2023.03  K. Okitani and K. Yamazaki

     More details

    Presentation type:Oral presentation (invited, special)  

    Venue:RIMS  

  • Stability of Chandrasekhar's nonlinear force-free fields Invited International conference

    RIMS workshop: Workshop on Variational Methods and Dispersive Equations  2023.02  K. Nakanishi

     More details

    Presentation type:Oral presentation (invited, special)  

    Venue:RIMS  

  • Stability of Chandrasekhar's nonlinear force-free fields Invited International conference

    Winter Workshop on Mathematical Analysis of Fluids  2023.02  K. Choi, B.Kwon, and I.J. Jeong

     More details

    Presentation type:Oral presentation (invited, special)  

    Venue:Park Hyatt Busan  

  • Stability of Chandrasekhar's nonlinear force-free fields Invited International conference

    OCAMI joint usage: Space-time topology and geometry with a focus on vortex and magnetic fields  2022.12  K. Itoyama and Y. Fukumoto

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference

    Ken Abe

    Kyushu DE conference  2022.01 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited International conference

    Ken Abe

    RIMS conference: Mathematical analysis of viscous incompressible flows  2021.12 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference

    Ken Abe

    Osaka U. DE seminar  2021.11 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited International conference

    Ken Abe

    Fluids seminar at Princeton University   2021.11 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference

    Ken Abe

    Hiroshima DE seminar  2021.10 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited International conference

    Ken Abe

    OCAMI joint usage: Helicity and space-time symmetry - a new perspective of classical and quantum systems  2021.10 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference

    Ken Abe

    Meiji nonlinear PDE seminar  2021.09 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Rigidity of Beltrami fields with a non-constant proportionality factor Invited International conference

    Ken Abe

    PDE seminar at Seoul National University  2021.09 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Existence of vortex rings in Beltrami flows Invited Domestic conference

    Ken Abe

    Meiji nonlinear summer seminar  2021.08 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Existence of vortex rings in Beltrami flows Invited International conference

    Ken Abe

    workshop for nonlinear PDEs  2021.06 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Existence of vortex rings in Beltrami flows Invited Domestic conference

    Ken Abe

    Kobe analysis seminar  2021.04 

     More details

    Presentation type:Oral presentation (invited, special)  

  • On the large time $L^{\infty}$-estimates of the Stokes semigroup in two dimensional exterior domains Invited Domestic conference

    Ken Abe

    12th Nagoya DE conference  2021.03 

     More details

    Presentation type:Oral presentation (general)  

  • Existence of vortex rings in Beltrami flows Invited International conference

    Ken Abe

    International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics  2020.12 

     More details

    Presentation type:Oral presentation (general)  

  • Stability of Lamb dipoles Invited Domestic conference

    Ken Abe

    45th PDE Sapporo symp.  2020.08 

     More details

    Presentation type:Oral presentation (general)  

  • Stability of Lamb dipoles Invited Domestic conference

    K.Abe

    Muroran nonlinear analysis seminar  2020.01 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Muroran Institute of Technology  

  • Stability of Lamb dipoles Invited Domestic conference

    K.Abe

    Workshop on nonlinear wave equations and related topics  2019.11 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Kobe university  

  • The vorticity equations in a half plane with measures as initial data Invited Domestic conference

    K.Abe

    Handayama Differential Equation Seminar  2019.07 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Okayama university of science  

  • The vorticity equations in a half plane with measures as initial data Invited Domestic conference

    K.Abe

    Workshop on the asymptotic analysis of partial differential equations and related topics  2019.05 

     More details

    Presentation type:Oral presentation (general)  

    Venue:Osaka University  

  • Vanishing viscosity limits for axisymmetric flows Domestic conference

    Ken Abe

    Matsuyama Analysis seminar  2019.02 

     More details

    Presentation type:Oral presentation (general)  

  • Vanishing viscosity limits for axisymmetric flows with boundary Domestic conference

    Ken Abe

    3rd meeting of young researchers in PDES, KIAS, Seoul  2018.12 

     More details

    Presentation type:Oral presentation (general)  

  • Liouville theorems for the Stokes equations with applications to large time estimates Invited International conference

    Ken Abe

    RIMS conference: Analysis for incompressible flows  2018.12 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Liouville theorems for the Stokes equations with applications to large time estimates Domestic conference

    Ken Abe

    RIMS conference: Analysis for incompressible flows  2018.12 

     More details

    Presentation type:Oral presentation (general)  

  • Vanishing viscosity limits for axisymmetric flows with boundary Invited International conference

    Ken Abe

    PDE seminar, Shanghai Jiao Tong University, Shanghai  2018.11 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Vanishing viscosity limits for axisymmetric flows with boundary Domestic conference

    Ken Abe

    PDE seminar, Shanghai Jiao Tong University, Shanghai  2018.11 

     More details

    Presentation type:Oral presentation (general)  

  • Vanishing viscosity for axisymmetric flows with boundary Invited International conference

    Ken Abe

    Workshop on the Navier-Stokes flow, Nagoya University  2018.09 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Vanishing viscosity for axisymmetric flows with boundary Domestic conference

    Ken Abe

    Workshop on the Navier-Stokes flow, Nagoya University  2018.09 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in the exterior of a cylinder Invited International conference

    Ken Abe

    PDEs and Mathematical Hydrodynamics: in Honor of Vsevolod Alekseevich Solonnikov's 85'th Birthday, Euler International Mathematical Institute, St. Petersburg, Russia  2018.07 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Axisymmetric flows in the exterior of a cylinder Domestic conference

    Ken Abe

    PDEs and Mathematical Hydrodynamics: in Honor of Vsevolod Alekseevich Solonnikov's 85'th Birthday, Euler International Mathematical Institute, St. Petersburg, Russia  2018.07 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Invited International conference

    Ken Abe

    Recent Trends in Navier-Stokes Equations and Related Problems, 12th AIMS conference, Taipei, Taiwan  2018.07 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Recent Trends in Navier-Stokes Equations and Related Problems, 12th AIMS conference, Taipei, Taiwan  2018.07 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in the exterior of a cylinder Domestic conference

    Ken Abe

    12th AIMS conference, Taipei, Taiwan  2018.07 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in the exterior of a cylinder Invited International conference

    Ken Abe

    12th AIMS conference, Taipei, Taiwan  2018.07 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Axisymmetric flows in the exterior of a cylinder Invited Domestic conference

    Ken Abe

    Kyushu DE seminar  2018.06 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Axisymmetric flows in the exterior of a cylinder Domestic conference

    Ken Abe

    Kyushu DE seminar  2018.06 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in an exterior domain Invited International conference

    Ken Abe

    AMS Spring Southeastern Sectional Meeting  2018.04 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Axisymmetric flows in an exterior domain Domestic conference

    Ken Abe

    AMS Spring Southeastern Sectional Meeting  2018.04 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Invited International conference

    Ken Abe

    5th. Mathematical Theory of Turbulece via Harmonic Analysis and Computational Fluid Dynamics, Nagoya University  2018.03 

     More details

    Presentation type:Oral presentation (invited, special)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    5th. Mathematical Theory of Turbulece via Harmonic Analysis and Computational Fluid Dynamics, Nagoya University  2018.03 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in an exterior domain Domestic conference

    Ken Abe

    Hirosaki workshop  2018.01 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in an exterior domain, Nagoya DE seminar Domestic conference

    Ken Abe

    Nagoya DE seminar   2018.01 

     More details

    Presentation type:Oral presentation (general)  

  • Axisymmetric flows in an exterior domain Domestic conference

    Ken Abe

    The 15th Japanese-German International workshop on Mathematical Fluid Dynamics, Waseda University  2018.01 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    PDEs seminar, Universit¥'e Grenoble Alpes, Institut Fourier, France  2017.09 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    6th Mathematical Science Seminar, Gifu University  2017.08 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Evolution Eq. and Mathematical Fluid Dynamics, Tohoku University  2017.07 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Hirosaki Analysis Seminar, Hirosaki University  2017.06 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    NLPDE Seminar, Kyoto University  2017.06 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    PDEs Seminar, Osaka University  2017.06 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    South Osaka Applied Analysis Seminar, Osaka City University  2017.04 

     More details

    Presentation type:Oral presentation (general)  

  • Analysis of the Navier-Stokes equations in a space of bounded functions Domestic conference

    Ken Abe

    Colloquium, Osaka City University  2017.04 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Kyushu PDEs Seminar, Kyushu University  2017.01 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Joint PDE school with UC Berkeley, the University of Tokyo  2017.01 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Synthetic studies on differential equations  2016.12 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Nagoya DE seminar, Nagoya University  2016.10 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    Applied analysis seminar, Waseda University  2016.10 

     More details

    Presentation type:Oral presentation (general)  

  • On regularity of axisymmetric Navier-Stokes flows Domestic conference

    Ken Abe

    Annual meeting of the Japan Society of Fluid Mechanics, Nagoya Institute of Technology  2016.09 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Domestic conference

    Ken Abe

    PDE seminar, Hokkaido University  2016.08 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder Domestic conference

    Ken Abe

    Recent Trends in Navier-Stokes Equations and Related Problems, 11th AIMS conference, Orlando, USA  2016.07 

     More details

    Presentation type:Oral presentation (general)  

  • On regularity of axisymmetric Navier-Stokes flows in an exterior domain Domestic conference

    Ken Abe

    Kagurazaka Analysis Seminar  2016.06 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder Domestic conference

    Ken Abe

    PDEs Seminar, UNIST, Ulsan  2016.04 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder Domestic conference

    Ken Abe

    PDEs Seminar, Yonsei University  2016.03 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder Domestic conference

    Ken Abe

    PDEs Seminar, Chung-Ang University, Seoul, Korea  2016.03 

     More details

    Presentation type:Oral presentation (general)  

  • On regularity of axisymmetric Navier-Stokes flows Domestic conference

    Ken Abe

    13th Kinosaki seminar, Kinosaki  2016.02 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder Domestic conference

    Ken Abe

    PDEs Seminar, Oxford University, Oxford, UK  2016.01 

     More details

    Presentation type:Oral presentation (general)  

  • On regularity of axially symmetric Navier-Stokes flows Domestic conference

    Ken Abe

    Colloquium, Kyoto University  2015.10 

     More details

    Presentation type:Oral presentation (general)  

  • Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder Domestic conference

    Ken Abe

    CAU-Kyoto U. joint workshop, Jeju, Korea  2015.09 

     More details

    Presentation type:Oral presentation (general)  

  • The Navier-Stokes equations in a space of bounded functions Domestic conference

    Ken Abe

    Osaka DE seminar, Osaka University  2015.07 

     More details

    Presentation type:Oral presentation (general)  

  • L^{infty}-estimates for the resolvent Stokes equations Domestic conference

    Ken Abe

    NLPDE seminar  2015.04  Kyoto University

     More details

    Presentation type:Oral presentation (general)  

    Venue:Kyoto  

  • Resolvent estimates for the Stokes equations in spaces of bounded functions Domestic conference

    Ken Abe

    Saga Workshop on PDEs  2015.03  Saga University

     More details

    Presentation type:Oral presentation (general)  

    Venue:Saga  

  • Weighted L^{infty}-estimates for some Neumann problem Domestic conference

    The workshop on nonlinear PDEs  2014.11  Tohoku University

     More details

    Presentation type:Oral presentation (general)  

    Venue:Sendai, Japan  

  • The Navier-Stokes equations in a space of bounded functions Domestic conference

    Ken Abe

    The workshop and autumn school on Mathematical Fluid Dynamics  2014.10  International Research Training Group on Mathematical Fluid Dynamics

     More details

    Presentation type:Oral presentation (general)  

  • On estimates for the Stokes flow in a space of bounded function Domestic conference

    Ken Abe

    The 10th AIMS conference: The Navier-Stokes Equations and Related Problems  2014.07  AIMS

     More details

    Presentation type:Oral presentation (general)  

  • On estimates for the Stokes flow in spaces of bounded functions Domestic conference

    On estimates for the Stokes flow in spaces of bounded functions  2014.06 

     More details

    Presentation type:Oral presentation (general)  

  • Resolvent estimates for the Stokes equations in spaces of bounded functions Domestic conference

    Ken Abe

    IRTG Winter seminar  2014.01  International Research Training Group on Mathematical Fluid Dynamics

     More details

    Presentation type:Oral presentation (general)  

    Venue:La Clusaz, France  

  • The Navier-Stokes equations in spaces of bounded functions Domestic conference

    Ken Abe

    MFO Workshop: Geophysical Fluid Dynamics  2013.02  MFO

     More details

    Presentation type:Oral presentation (general)  

    Venue:Oberwolfach, Germany  

  • Stokes resolvent estimates in spaces of bounded function Domestic conference

    Ken Abe

    UK-Japan Winter School: Nonlinear Analysis  2013.01  King's College London

     More details

    Presentation type:Oral presentation (general)  

    Venue:London, UK  

  • Masuda-Stewart method to the Stokes equations Domestic conference

    Ken Abe

    PDEs in Mathematical Physics seminar  2012.10  Seconda Universit`a degli Studi di Napoli

     More details

    Presentation type:Oral presentation (general)  

    Venue:Caserta, Italy  

  • The L^{infty}-Stokes semigroup in exterior domains Domestic conference

    Ken Abe

    The 9th AIMS conference: The Navier-Stokes Equations and Related Problems  2012.07  AIMS

     More details

    Presentation type:Oral presentation (general)  

  • Analyticity of the Stokes semigroup in spaces of bounded functions Domestic conference

    Ken Abe

    PDE Seminar in TUD  2011.11  Technical University of Darmstadt

     More details

    Presentation type:Oral presentation (general)  

    Venue:Darmstadt, Germany  

▼display all

Works

Grant-in-Aid for Scientific Research

  • 双極渦を焦点とする非圧縮理想流の平衡状態と安定性の解明

    Grant-in-Aid for Scientific Research(C)  2024.02

  • 渦輪の軌道安定性の解析

    Grant-in-Aid for Young Scientists(B)  2020.04

  • Analysis of the Navier-Stokes equations by maximum norms

    Grant-in-Aid for Young Scientists(B)  2017.04

  • 非線形波動・分散型方程式の凝縮現象の解析

    Grant-in-Aid for Scientific Research(B)  2017.04

  • Analysis of concentration phenomena for nonlinear wave and dispersive equations

    Grant-in-Aid for Scientific Research(B)  2017.04

Other subsidies, etc.

  • 粘性消去法による3次元オイラー方程式の解析

    大学  2018.04

Charge of on-campus class subject

  • 解析学1

    2023   Weekly class   Undergraduate

  • 数学概論A

    2023   Weekly class   Graduate school

  • 偏微分方程式

    2023   Weekly class   Undergraduate

  • 数学要論B

    2023   Weekly class   Undergraduate

  • 数学概論B

    2022   Weekly class   Graduate school

  • 応用数学B*S(化・生・地)T(情・化・建・都)H(環)

    2022   Weekly class   Graduate school

  • 数学概論I

    2021     Graduate school

  • 数学前期特別研究II

    2021     Graduate school

  • 解析学講義III・解析学特論III

    2021     Graduate school

  • 解析I

    2021     Undergraduate

  • 応用数学A

    2021     Undergraduate

  • 数学前期特別研究I

    2020     Graduate school

  • 特別研究(数学)

    2020     Undergraduate

  • 数理解析学演習

    2020     Graduate school

  • 解析学II演習

    2020     Undergraduate

  • 解析学II

    2020     Undergraduate

  • 解析I

    2020     Undergraduate

  • 応用数学A

    2020     Undergraduate

  • 数学概論I

    2019     Graduate school

  • 解析学III演習

    2019     Undergraduate

  • 解析学III

    2019     Undergraduate

  • 解析II

    2019     Undergraduate

  • 応用数学A

    2019     Undergraduate

  • 数学基礎演習II

    2018     Undergraduate

  • 応用数学B

    2018     Undergraduate

  • 解析学III演習

    2018     Undergraduate

  • 解析学III

    2018     Undergraduate

  • 特別研究(数学)

    2017     Undergraduate

  • 数学概論I

    2017     Graduate school

  • 解析学講義III

    2017     Graduate school

  • 解析I

    2017     Undergraduate

  • 応用数学A

    2017     Undergraduate

  • 解析II

    2017     Undergraduate

▼display all

Charge of off-campus class subject

  • 数学B

  • 数学A

Faculty development activities

  • 理学部新学舎完成記念シンポジウム  2023

     More details

    理学部新学舎完成記念シンポジウムに参加し講演の座長を行った

  • 理学研究科職員向け談話会  2023

     More details

    理学研究科職員向け談話会で講演を行った

Social Activities

  • オープンキャンパス

    Role(s): Lecturer

    2021.09

     More details

    Audience: High school students, General public

    Type:Citizen’s meeting/Assembly

  • 市大授業

    Role(s): Lecturer

    2018.04

     More details

    Audience: High school students, General public

    Type:Citizen’s meeting/Assembly

Foreigner acceptance

  • 2019

    foreigners accepted :1

Other

  • Job Career

    2017.04 - Now

      More details

    Osaka City University Department of Mathematics Faculty of Science Associate Professor