Rchr
J-GLOBAL ID:201701020786114863
Update date: Nov. 08, 2024
Akagi Goro
アカギ ゴロウ | Akagi Goro
Affiliation and department:
Job title:
Professor
Homepage URL (1):
http://www.math.tohoku.ac.jp/~akagi/
Research field (2):
Mathematical analysis
, Basic analysis
Research keywords (3):
関数解析
, 発展方程式
, 応用解析学、発展方程式、関数解析
Research theme for competitive and other funds (17):
- 2024 - 2029 Evolution equations describing singularities of non-equilibrium systems beyond the linear-response regime and development of nonlocal-nonlinear analysis
- 2021 - 2027 Quantitative analysis for nonlinear evolution equations of diffusion type
- 2020 - 2025 Mathematical analysis of inverse problems and modelling for complex fluids and diffusion in heterogeneous media
- 2021 - 2024 Evolution equations with the coexistence of fractional derivatives and nonlinear structures -perturbation theory and asymptotic analysis-
- 2020 - 2024 Evolution equations describing non-standard irreversible processes --Analysis on singularities emerging in the dynamics of solutions--
- 2017 - 2022 Analysis of singular nonlinear structure in dissipative systems
- 2018 - 2021 Evolution equations with the coexistence of fractional derivatives and nonlinear structures
- 2016 - 2020 Well-posedness for differential equations in metric spaces
- 2016 - 2020 Evolution equations describing non-standard irreversible processes
- 2015 - 2019 Study on nonlinear partial differential equations with set-valued perturbations
- 2014 - 2019 Nonlinear analysis for a parabolic-parabolic chemotaxis-growth system of equations
- 2013 - 2016 Research on Evolution Equations Describing Anomalous Diffusion
- 2012 - 2015 Studies on approximate problems, regularity and singularity for mean curvature flow
- 2010 - 2012 Asymptotic behavior of solutions for evolution equations involving nonlinear Laplacians
- 2009 - 2012 Synthetic study of nonlinear evolution equation and its related topics
- 2007 - 2009 Research on evolution equations involving nonlinear Laplace operators
- 2003 - 2005 対称臨界性原理とその非線形偏微分方程式への応用
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Papers (59):
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Goro Akagi, Naoki Tanaka. Generalized gradient flows for time-dependent energies and applications to PDEs involving variable exponents. Nonlinear Differential Equations and Applications. 2024. 31. 5
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Goro Akagi, Giulio Schimperna. On a class of doubly nonlinear evolution equations in Musielak-Orlicz spaces. Mathematische Nachrichten. 2024
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Franz Achleitner, Goro Akagi, Christian Kuehn, Jens Markus Melenk, Jens D. M. Rademacher, Cinzia Soresina, Jichen Yang. Fractional Dissipative PDEs. Nonlinear Systems and Complexity. 2024. 53-122
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Goro Akagi, Izumi Takagi, Conghui Zhang. Steady States with Jump Discontinuity in a Receptor-Based Model with Hysteresis in Higher-Dimensional Domains. SIAM J. Math. Anal. 2024. 56. 2. 1996-2033
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Goro Akagi, Kotaro Sato. Evolution equations with complete irreversibility and energy conservation. Journal of Mathematical Analysis and Applications. 2023
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MISC (6):
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Akagi Goro. A subdifferential approach to evolution equations in variable exponent Lebesgue spaces (New Role of the Theory of Abstract Evolution Equations : From a Point of View Overlooking the Individual Partial Differential Equations). RIMS Kokyuroku. 2014. 1892. 73-87
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Akagi Goro. A global variational principle for nonlinear evolution (Analysis on non-equilibria and nonlinear phenomena : from the evolution equations point of view). RIMS Kokyuroku. 2012. 1792. 40-56
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Akagi Goro. A random walk model for nonlinear diffusion (Viscosity Solutions of Differential Equations and Related Topics). RIMS Kokyuroku. 2010. 1695. 12-27
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赤木 剛朗. 非線形拡散方程式の解の漸近形の解析. 特別教育・研究報告集. 2010. 378-381
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Akagi Goro. Doubly nonlinear evolution equations and dynamical systems (Nonlinear Evolution Equations and Mathematical Modeling). RIMS Kokyuroku. 2009. 1640. 56-66
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Lectures and oral presentations (139):
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Research Achievements
(2023)
-
Rate of convergence to asymptotic profiles for fast diffusion equations
(2022)
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Evolution equations with irreversibility constraints
(Inverse Problems and Control for PDEs and the Hamilton-Jacobi Equation: French-Italian-Japanese conference 2022)
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Gradient flow theory for time-dependent energies and applications to nonlinear PDEs
(2022)
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Local well-posedness for some phase-field model of complete damage
(Goro Akagi 2021)
more...
Education (3):
- 2000 - 2004 Waseda University Graduate School of Science and Engineering Department of Physics and Applied Physics
- 1998 - 2000 Waseda University Graduate School of Science and Engineering Department of Physics and Applied Physics
- 1994 - 2000 Waseda University School of Science and Engineering Department of Physics
Professional career (1):
- Doctor of Science (Waseda University)
Work history (10):
- 2022/01 - 現在 Shizuoka University Faculty of Science Specially Appointed Professor
- 2016/04 - 現在 Tohoku University Graduate School of Science Department of Mathematics Full Professor
- 2021/09 - 2022/08 University of Pavia Department of Mathematics Contract Professor
- 2017/10 - 2018/03 Technical University of Munich Department of Mathematics Carl Friedrich von Siemens Research Fellowship of the Alexander von Humboldt Foundation
- 2015/09 - 2016/09 Technical University of Munich Department of Mathematics Carl Friedrich von Siemens Research Fellow of the Alexander von Humboldt Foundation
- 2011/04 - 2016/03 Kobe University Graduate School of System Informatics Department of System Science Associate Professor
- 2010/04 - 2011/03 Shibaura Institute of Technology Department of Machinery and Control Systems, College of Systems Engineering and Science Associate Professor
- 2006/04 - 2010/03 Shibaura Institute of Technology Department of Machinery and Control Systems, College of Systems Engineering, Lecture
- 2005/04 - 2006/03 Nihon University College of Humanities and Sciences PD Researcher
- 2003 - 2004 Waseda University Media Network Center Research Associate
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Awards (2):
- 2014/12 - 函数方程式分科会(日本数学会) 第6回福原賞
- 2014/11 - Alexander von Humboldt Foundation Carl Friedrich von Siemens Research Fellowship of the Alexander von Humboldt Foundation
Association Membership(s) (2):
日本応用数理学会
, Mathematical Society of Japan
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