Updated on 2024/04/02
Graduate School of Science Department of Mathematics
Associate Professor 2022.04 - Now
School of Science Department of Mathematics
Associate Professor 2022.04 - Now
数理科学 （ The University of Tokyo ）
2011.09 - Now Domestic
南部陽一郎若手研究奨励賞
2017.09
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
Existence of homogeneous Euler flows of degree −α∉[−2,0] Reviewed
Ken Abe
Arch. Rational Mech. Anal. 2023.05
Stability of Chandrasekhar's nonlinear force-free fields
Ken Abe
2022.06
Rigidity of Beltrami fields with a non-constant proportionality factor Reviewed
J. Math. Phys. 63 041507 2022.04
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
Existence of vortex rings in Beltrami flows Reviewed
Ken Abe
Commun. Math. Phys. 2020.08
Vanishing viscosity limits for axisymmetric flows with boundary Reviewed
K. Abe
J. Math. Pures Appl. 2020.01
Liouville theorems for the Stokes equations with applications to large time estimates Reviewed
K. Abe
J. Funct. Anal. 2020.01
Stability of Lamb dipoles Reviewed
K. Abe, K. Choi
Arch. Rational Mech. Anal. 244 877 - 917 2019.11
The vorticity equations in a half plane with measures as initial data
K. Abe
arXiv 2019.04
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
The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder Reviewed
K. Abe
Manuscripta Math. 2019
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 ）
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
Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data Reviewed
K. Abe
Arch. Rational Mech. Anal. 2018
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 ）
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 ）
Exterior Navier-Stokes flows for bounded data Reviewed
K. Abe
Math. Nachr. 2017
On estimates for the Stokes flow in a space of bounded functions Reviewed
K. Abe
J. Differ. Equ. 261 1756 - 1795 2016
On the Stokes resolvent estimates for cylindrical domains Invited Reviewed International coauthorship
K. Abe, Y. Giga, K. Shade, T. Suzuki
J. Evol. Equ. 2016
On estimates for the Stokes flow in a space of bounded functions Reviewed
K. Abe
J. Differ. Equ. 2016
The Navier-Stokes equations in a space of bounded functions Reviewed
K. Abe
Commun. Math. Phys 338 849 - 865 2015
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
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
Stokes resolvent estimates in spaces of bounded functions Reviewed International coauthorship
K. Abe, Y. Giga, M. Hieber
Ann. Sci. 'Ec. Norm. Sup'er. 2015
The Navier-Stokes equations in a space of bounded functions Reviewed
K. Abe
Commun. Math. Phys 2015
On the Stokes semigroup in some non-Helmholtz domain Reviewed International coauthorship
K. Abe, Y. Giga, K. Shade, T. Suzuki
Archiv der Mathematik 2015
The L^{infty}-Stokes semigroup in exterior domains Reviewed
K. Abe, Y. Giga
J. Evol. Equ. 14 1 - 28 2014
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
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
The L^{infty}-Stokes semigroup in exterior domains Reviewed
K. Abe, Y. Giga
J. Evol. Equ. 2014
Analyticity of the Stokes semigroup in spaces of bounded functions Reviewed
K. Abe, Y. Giga
Acta Math. 211 1 - 46 2013
Analyticity of the Stokes semigroup in spaces of bounded functions Reviewed
K. Abe, Y. Giga
Acta Math. 2013
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
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
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
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
The Reviewed
Ken Abe
2012.09
Analyticity of the Stokes semigroup in spaces of bounded functions
Ken Abe
2011.10
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
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.
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
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
Stability of Chandrasekhar's nonlinear force-free fields Invited International conference
RIMS workshop: Workshop on Variational Methods and Dispersive Equations 2023.02 K. Nakanishi
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
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
Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference
Ken Abe
Kyushu DE conference 2022.01
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
Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference
Ken Abe
Osaka U. DE seminar 2021.11
Rigidity of Beltrami fields with a non-constant proportionality factor Invited International conference
Ken Abe
Fluids seminar at Princeton University 2021.11
Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference
Ken Abe
Hiroshima DE seminar 2021.10
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
Rigidity of Beltrami fields with a non-constant proportionality factor Invited Domestic conference
Ken Abe
Meiji nonlinear PDE seminar 2021.09
Rigidity of Beltrami fields with a non-constant proportionality factor Invited International conference
Ken Abe
PDE seminar at Seoul National University 2021.09
Existence of vortex rings in Beltrami flows Invited Domestic conference
Ken Abe
Meiji nonlinear summer seminar 2021.08
Existence of vortex rings in Beltrami flows Invited International conference
Ken Abe
workshop for nonlinear PDEs 2021.06
Existence of vortex rings in Beltrami flows Invited Domestic conference
Ken Abe
Kobe analysis seminar 2021.04
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
Existence of vortex rings in Beltrami flows Invited International conference
Ken Abe
International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics 2020.12
Stability of Lamb dipoles Invited Domestic conference
Ken Abe
45th PDE Sapporo symp. 2020.08
Stability of Lamb dipoles Invited Domestic conference
K.Abe
Muroran nonlinear analysis seminar 2020.01
Stability of Lamb dipoles Invited Domestic conference
K.Abe
Workshop on nonlinear wave equations and related topics 2019.11
The vorticity equations in a half plane with measures as initial data Invited Domestic conference
K.Abe
Handayama Differential Equation Seminar 2019.07
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
Vanishing viscosity limits for axisymmetric flows Domestic conference
Ken Abe
Matsuyama Analysis seminar 2019.02
Vanishing viscosity limits for axisymmetric flows with boundary Domestic conference
Ken Abe
3rd meeting of young researchers in PDES, KIAS, Seoul 2018.12
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
Liouville theorems for the Stokes equations with applications to large time estimates Domestic conference
Ken Abe
RIMS conference: Analysis for incompressible flows 2018.12
Vanishing viscosity limits for axisymmetric flows with boundary Invited International conference
Ken Abe
PDE seminar, Shanghai Jiao Tong University, Shanghai 2018.11
Vanishing viscosity limits for axisymmetric flows with boundary Domestic conference
Ken Abe
PDE seminar, Shanghai Jiao Tong University, Shanghai 2018.11
Vanishing viscosity for axisymmetric flows with boundary Invited International conference
Ken Abe
Workshop on the Navier-Stokes flow, Nagoya University 2018.09
Vanishing viscosity for axisymmetric flows with boundary Domestic conference
Ken Abe
Workshop on the Navier-Stokes flow, Nagoya University 2018.09
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
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
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
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
Axisymmetric flows in the exterior of a cylinder Domestic conference
Ken Abe
12th AIMS conference, Taipei, Taiwan 2018.07
Axisymmetric flows in the exterior of a cylinder Invited International conference
Ken Abe
12th AIMS conference, Taipei, Taiwan 2018.07
Axisymmetric flows in the exterior of a cylinder Invited Domestic conference
Ken Abe
Kyushu DE seminar 2018.06
Axisymmetric flows in the exterior of a cylinder Domestic conference
Ken Abe
Kyushu DE seminar 2018.06
Axisymmetric flows in an exterior domain Invited International conference
Ken Abe
AMS Spring Southeastern Sectional Meeting 2018.04
Axisymmetric flows in an exterior domain Domestic conference
Ken Abe
AMS Spring Southeastern Sectional Meeting 2018.04
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
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
Axisymmetric flows in an exterior domain Domestic conference
Ken Abe
Hirosaki workshop 2018.01
Axisymmetric flows in an exterior domain, Nagoya DE seminar Domestic conference
Ken Abe
Nagoya DE seminar 2018.01
Axisymmetric flows in an exterior domain Domestic conference
Ken Abe
The 15th Japanese-German International workshop on Mathematical Fluid Dynamics, Waseda University 2018.01
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
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
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
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
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
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
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
Analysis of the Navier-Stokes equations in a space of bounded functions Domestic conference
Ken Abe
Colloquium, Osaka City University 2017.04
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
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
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
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
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
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
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
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
On regularity of axisymmetric Navier-Stokes flows in an exterior domain Domestic conference
Ken Abe
Kagurazaka Analysis Seminar 2016.06
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
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
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
On regularity of axisymmetric Navier-Stokes flows Domestic conference
Ken Abe
13th Kinosaki seminar, Kinosaki 2016.02
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
On regularity of axially symmetric Navier-Stokes flows Domestic conference
Ken Abe
Colloquium, Kyoto University 2015.10
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
The Navier-Stokes equations in a space of bounded functions Domestic conference
Ken Abe
Osaka DE seminar, Osaka University 2015.07
L^{infty}-estimates for the resolvent Stokes equations Domestic conference
Ken Abe
NLPDE seminar 2015.04 Kyoto University
Resolvent estimates for the Stokes equations in spaces of bounded functions Domestic conference
Ken Abe
Saga Workshop on PDEs 2015.03 Saga University
Weighted L^{infty}-estimates for some Neumann problem Domestic conference
The workshop on nonlinear PDEs 2014.11 Tohoku University
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
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
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
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
The Navier-Stokes equations in spaces of bounded functions Domestic conference
Ken Abe
MFO Workshop: Geophysical Fluid Dynamics 2013.02 MFO
Stokes resolvent estimates in spaces of bounded function Domestic conference
Ken Abe
UK-Japan Winter School: Nonlinear Analysis 2013.01 King's College London
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
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
Analyticity of the Stokes semigroup in spaces of bounded functions Domestic conference
Ken Abe
PDE Seminar in TUD 2011.11 Technical University of Darmstadt
OCAMI共同利用による研究集会「The Grad Conjecture in Fluid Mechanics and Magnetohydrodynamics: Theory and Applications」の共催
阿部健, 佐藤直木, 横山知郎, 山田道夫, 吉田善章
OCAMI共同利用による研究集会「Analysis of PDEs in Fluids」の共催
OCAMI共同利用による研究集会『Quasi-linear PDEs in fluids II』 の開催
山崎加壽雄, Kyudong Choi
OCAMI共同利用による研究集会『Quasi-linear PDEs in fluids』 の開催
山崎加壽雄, Kyudong Choi
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
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
数学概論A
2023 Weekly class Graduate school
解析学1
2023 Weekly class Undergraduate
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
数学B
数学A
理学部新学舎完成記念シンポジウム 2023
理学研究科職員向け談話会 2023
オープンキャンパス
Role(s)： Lecturer
2021.09
市大授業
Role(s)： Lecturer
2018.04
2019
foreigners accepted :1
Job Career
2017.04 - Now
Osaka City University Department of Mathematics Faculty of Science Associate Professor