Shinya Okabe

Profile Information

Affiliation: Associate Professor, Graduate School of Science Mathematics Manifold Theory, Tohoku University

Degree: 理学(東北大学)

J-GLOBAL ID: 201101070364702072
researchmap Member ID: 6000029936

Research Interests

Research Areas

Natural sciences / Mathematical analysis /

Research History

Oct, 2008 - Mar, 2011

准教授, 岩手大学人文社会科学部
Apr, 2007 - Sep, 2008

助教, 東北大学大学院理学研究科
Apr, 2006 - Mar, 2007

COE学術研究員, 北海道大学理学研究院数学部門

Education

- Mar, 2006

数学専攻, Graduate School, Division of Natural Science, Tohoku University
- Mar, 2003

数学専攻, Graduate School, Division of Natural Science, Tohoku University
- Mar, 2001

数学専攻, Faculty of Science, Tohoku University

Awards

Dec, 2015

第七回函数方程式論分科会福原賞, 日本数学会函数方程式論分科会

岡部真也

Papers

Willmore Obstacle Problems under Dirichlet Boundary Conditions

Hans-Christoph Grunau, Shinya Okabe

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 1415-1462, Sep 29, 2023 Peer-reviewedCorresponding author
The p-elastic flow for planar closed curves with constant parametrization

Shinya Okabe, Glen Wheeler

Journal de Mathématiques Pures et Appliquées, 173 1-42, May, 2023 Peer-reviewedLead author
Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

Kazuhiro Ishige, Shinya Okabe, Tokushi Sato

Advanced Nonlinear Studies, 23(1), 2023 Peer-reviewedCorresponding author
Existence of solutions to nonlinear parabolic equations via majorant integral kernel

Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe

Nonlinear Analysis, 223 113025-113025, Oct, 2022 Peer-reviewed
Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

Kazuhiro Ishige, Shinya Okabe, Tokushi Sato

Advances in Nonlinear Analysis, 11(1) 968-992, Feb 25, 2022 Peer-reviewedCorresponding author
On the Isoperimetric Inequality and Surface Diffusion Flow for Multiply Winding Curves

Tatsuya Miura, Shinya Okabe

Archive for Rational Mechanics and Analysis, 239(2) 1111-1129, Feb, 2021
Asymptotic Behavior of Solutions for a Fourth Order Parabolic Equation with Gradient Nonlinearity via the Galerkin Method

Nobuhito Miyake, Shinya Okabe

Geometric Properties for Parabolic and Elliptic PDE's, 247-271, 2021
A dynamical approach to the variational inequality on modified elastic graphs

Shinya Okabe, Kensuke Yoshizawa

Geometric Flows, 5(1) 78-101, Oct 31, 2020 Peer-reviewed
A gradient flow for the p-elastic energy defined on closed planar curves

Shinya Okabe, Paola Pozzi, Glen Wheeler

Mathematische Annalen, 378(1-2) 777-828, Oct, 2020 Peer-reviewed
Existence of solutions for a higher-order semilinear parabolic equation with singular initial data

Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 37(5) 1185-1209, Sep, 2020 Peer-reviewed
The obstacle problem for a fourth order semilinear parabolic equation

Shinya Okabe, Kensuke Yoshizawa

Nonlinear Analysis, 198 111902-111902, Sep, 2020 Peer-reviewed
Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations

Hans-Christoph Grunau, Nobuhito Miyake, Shinya Okabe

Advances in Nonlinear Analysis, 10(1) 353-370, Aug 2, 2020
A remark on the first p-buckling eigenvalue with an adhesive constraint

Yoshihisa Kaga, Shinya Okabe

Mathematics in Engineering, 3(4) 1-15, 2020
Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity

Kazuhiro Ishige, Nobuhito Miyake, Shinya Okabe

SIAM Journal on Mathematical Analysis, 52(1) 927-953, Jan, 2020 Peer-reviewed
A supercritical scalar field equation with a forcing term

Kazuhiro Ishige, Shinya Okabe, Tokushi Sato

Journal de Mathématiques Pures et Appliquées, 128 183-212, Aug, 2019 Peer-reviewed
Controllability of hybrid PDE‐ODE systems with structural instability and applications to mathematical models on intermittent hormonal therapy for prostate cancer

Kurumi Hiruko, Shinya Okabe

Mathematical Methods in the Applied Sciences, 41(17) 8229-8247, Nov, 2018 Peer-reviewed
Stability analysis on a hybrid PDE-ODE system describing intermittent hormonal therapy of prostate cancer

Kurumi Hiruko, Shinya Okabe

Mathematical Models and Methods in Applied Sciences, 28(3) 487-523, Mar 1, 2018 Peer-reviewed
Shape memory wires in R^3

Shinya Okabe, Takashi Suzuki, Shuji Yoshikawa

Shape Memory Alloys - Fundamentals and Applications, 2017 Peer-reviewed
The two-obstacle problem for the parabolic biharmonic equation

Matteo Novaga, Shinya Okabe

Nonlinear Analysis, Theory, Methods and Applications, 136 215-233, May 1, 2016 Peer-reviewed
Dynamical Aspects of a Hybrid System Describing Intermittent Androgen Suppression Therapy of Prostate Cancer

Kurumi Hiruko, Shinya Okabe

GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE'S, 176 191-230, 2016 Peer-reviewed

Misc.

$H^2$(ds)-Sobolev gradient flow for the modified elastic energy

Shinya Okabe

RIMS Kokyuroku Innovation of the theory for evolution equations: developments via cross-disciplinary studies, 2277 79-89, Feb, 2024 InvitedCorresponding author
高階放物型問題に対する変分的時間離散近似解法

岡部真也

応用数学勉強会レクチャーノート, 1-81, Sep, 2021 Lead author
Construction of solutions to a fourth order parabolic obstacle problem

Shinya Okabe

RIMS Kokyuroku, 1896 12-25, May, 2014
Remarks on the motion of non-closed planar curves governed by shortening-straightening flow

Shinya Okabe

数理解析研究所講究録－現象の数理解析へ向けた非線形発展方程式とその周辺－, 1746 34-48, Jun, 2011
形状記憶合金ワイヤーの運動を記述する熱弾性方程式の導出

Shinya Okabe, Takashi Suzuki, Syuji Yoshikawa

数理解析研究所講究録－非線形発展方程式と現象の数理－, 1693 1-10, Jun, 2010
ある束縛条件下における平面弾性閉曲線のダイナミクス

Shinya Okabe

北海道大学数学講究録, 116 1-31, Dec, 2006
十分大きな圧力差をもつTadjbakhsh-Odeh変分問題の解の漸近形

岡部真也, OKABE Shinya

盛岡応用数学小研究集会報告集, 2005 13-18, Jan 1, 2006
一様な圧力を受ける弾性閉曲線の運動

岡部真也, OKABE Shinya

盛岡応用数学小研究集会報告集, 2003 38-42, Jan 1, 2004
The motion of an elastic closed curve with constant enclosed area

OKABE Shinya

数理解析研究所講究録, 1405 197-213, 2004 Lead authorCorresponding author

Presentations

Dynamical approach to a generalized isoperimetric inequality

Shinya Okabe

2024 OIST Workshop, Geometric Aspects of Partial Differential Equations, Jan 16, 2024 Invited
Recent advances in Sobolev gradient flows for curves

Shinya Okabe

Euro-Japan Conference on Nonlinear Diffusions, Oct 19, 2023 Invited
数学と医療の交叉点〜癌治療と関わるある数理モデル〜

岡部真也

日本数学会2023年度秋季総合分科会市民講演会, Sep 23, 2023 Invited
Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe

Frontiers of gradient flows: well-posedness, asymptotics, singular limits, Aug 21, 2023 Invited
Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe

Dec 25, 2022 Invited
Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe

RIMS Workshop ``Innovation of the theory for evolution equations: developments via cross-disciplinary studies", Oct 18, 2022 Invited
Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe

Oct 8, 2022 Invited
Sobolev gradient flow for the elastic energy defined on closed curves

Shinya Okabe

Aug 29, 2022 Invited
Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe

Tuesday Seminar of Analysis, May 31, 2022 Invited
Convergence of Sobolev gradient trajectories to elastica

Shinya Okabe

Mar 16, 2022 Invited
Convergence of Sobolev gradient trajectories to elastica

Okabe, Shinya

Aug 18, 2021 Invited
The p-elastic flow for planar closed curves with constant parametrization

岡部真也

第72回東工大数理解析セミナー, Jun 11, 2021 Invited
高階放物型問題に対する変分的時間離散近似解法

岡部真也

応用数学勉強会2020, Nov 15, 2020 Invited
The modified p-elastic flow on planar closed curves

岡部真也

九州関数方程式セミナー, Nov 6, 2020 Invited
On the isoperimetric inequality and surface diffusion flow for multiply winding curves

岡部真也

応用数理解析セミナー, Jul 9, 2020 Invited
Relaxation to equilibrium in a Cahn--Hilliard system

岡部真也

反応拡散方程式と非線形分散型方程式の解の挙動, Feb 21, 2020 Invited
Global existence of the surface diffusion flow for multiply winding curves with rotational symmetry

Okabe Shinya

Nonlinear Geometric Partial Differential Equations, Feb 5, 2020 Invited
Variational approaches to higher order parabolic problems

Oct 4, 2019 Invited
Stability analysis on a hybrid PDE-ODE system describing intermittent hormonal therapy of prostate cancer

Okabe Shinya

Mathematical Biology and Computational Biology, Jun 22, 2019 Invited
The p-elastic flow of curves in the plane

Okabe Shinya

6th Italian-Japanese Workshop ``Geometric properties for parabolic and elliptic PDEs", May 23, 2019 Invited

Professional Memberships

日本数学会

Research Projects

Mathematical and numerical analysis of Sobolev gradient flows appearing in interface and materials science

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2022 - Mar, 2026
Analysis on singularities of higher order geometric gradient flows

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2021 - Mar, 2026
New development on higher order elliptic and parabolic PDEs -- cooperation between harmonic analysis and geometric analysis

Grants-in-Aid for Scientific Research, Fund for the Promotion of Joint International Research (Fostering Joint International Research (B)), Japan Society for the Promotion of Science, Oct, 2020 - Mar, 2025
Systematical geometric analysis and asymptotic analysis for evolution equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S), Grant-in-Aid for Scientific Research (S), Japan Society for the Promotion of Science, Jun, 2019 - Mar, 2024
曲線がなす距離空間におけるエネルギー勾配流の構成とその応用

科学研究費助成事業特別研究員奨励費, 特別研究員奨励費, 日本学術振興会, Nov, 2019 - Mar, 2022

岡部真也, SCHRADER PHILIP
Evolution equations describing non-standard irreversible processes

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2020

Akagi Goro
Fusion and evolution of asymptotic analysis and geometric analysis in partial differential equations

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2020

Ishige Kazuhiro
Dynamical aspects of geometric evolution equations defined on curves or surfaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, Apr, 2012 - Mar, 2016

Okabe Shinya
Fundamental theory for viscosity solutions of fully nonlinear equations and its applications

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, Apr, 2011 - Mar, 2016

Koike Shigeaki
Theory of Differential Equations Applied to Biological Pattern Formation--from Analysis to Synthesis

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2010 - Mar, 2015

TAKAGI Izumi, IKEDA Hideo, OGAWA Takayoshi, NAGASAWA Takeyuki, YANAGIDA Eiji, UEYAMA Daishin, OKABE Shinya, NAKASHIMA Kimie, YAMADA Sumio
Development of mathematical analysis via phase field method

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2009 - 2012

TONEGAWA Yoshihiro, NISHIURA Yasumasa, OKABE Shinya, MAEKAWA Yasunori
Dynamics of curves and surfaces governed by various geometric evolution equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2009 - 2011

OKABE Shinya
Qualitative Properties of Solutions of Differential Equations Modeling Biological Pattern Formation

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, 2006 - 2009

TAKAGI Izumi, YANAGIDA Eiji, IKEDA Hideo, NAGASAWA Takeyuki, IIDA Masato, ISHIGE Kazuhiro, UEYAMA Daishin, OGAWA Takayoshi, MOCHIZUKI Atsuhi, YAMADA Sumio
The dynamics of curves and surfaces governed by gradient of energy functionals

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2007 - 2008

OKABE Shinya

Social Activities

現代数学講演会

Other

Jul 15, 2014
第18回仙台数学セミナー

Other

Aug, 2011
第15回仙台数学セミナー

Other

Aug, 2008
第14回仙台数学セミナー

Other

Aug 9, 2007 - Aug 11, 2007

Profile Information

Research Interests

Research Areas

Research History

Education

Awards

Papers

Misc.

Presentations

Professional Memberships

Research Projects

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