Rchr
J-GLOBAL ID：200901007935149927
Update date: Nov. 23, 2024
Nakamura Ken'Ichi
ナカムラ ケンイチ | Nakamura Ken'Ichi
Affiliation and department：
Research field (3)：
Mathematical analysis
, Applied mathematics and statistics
, Basic mathematics
Research keywords (3)：
Reaction-diffusion systems
, Nonlinear partial differential equations
, Infinite dimensional dynamical systems
Research theme for competitive and other funds (22)：
- 2021 - 2027 Quantitative analysis for nonlinear evolution equations of diffusion type
- 2022 - 2025 比較定理を基軸に展開する生態系ネットワーク上の生物種の侵入・停留の数学解析
- 2021 - 2025 自己駆動体の集団運動に対する数理モデリングと数理解析
- 2021 - 2024 メタ群集モデルの数理解析・数値解析による生物種の侵入制御可能性の探究
- 2018 - 2021 個体群動態モデルに現れる界面ダイナミクスの数理解析・数値解析
- 2016 - 2020 Mathematical modeling of collectiove motion of self-propelled systems and its analysis
- 2015 - 2019 結晶表面におけるステップダイナミクスの数理解析・数値解析
- 2015 - 2018 生体内の不均一な場における反応拡散波の伝播機構の解明
- 2011 - 2016 Qualitative theory of nonlinear partial differential equations and the analysis of singularitiesof
- 2013 - 2015 Spot dynamics of the volume preserving reaction-diffusion systems
- 2012 - 2015 非周期環境における界面ダイナミクスの数理的研究とその応用
- 2008 - 2012 不均質環境における生物種の生存競争の数理解析
- 2009 - 2012 Mathematical analysis of the droplet motion and the particle motion with the chemical reaction.
- 2009 - 2011 Validate Computation Library on Time Evolution Equations
- 2007 - 2008 無限領域における非線形拡散方程式の解が生成する散逸力学系の解明に向けて
- 2007 - 2008 Development of numerical verification methods on evolution equations
- 2005 - 2007 Interface motion and blow-up phenomena in nonlinear partial differential equations
- 2004 - 2006 漸近解析的手法による反応拡散系の縮約とその正当化
- 2005 - 2006 Numerical Verification Methods for Dynamical Systems described by ODEs
- 2000 - 2002 金属結晶成長の数理モデルに現れる螺旋状進行波解の漸近解析的研究
- 1998 - 2000 空間的に非一様な反応拡散方程式系に現れる進行波解の伝播制御に関する研究
- 1997 - 1998 The study of arithmetic and analytic property of automorphic forms and zeta function associated with them and numerical analysis
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Papers (20)：
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Yoshihisa Morita, Ken-Ichi Nakamura, Toshiko Ogiwara. Front propagation and blocking for the competition-diffusion system in a domain of half-lines with a junction. Discrete and Continuous Dynamical Systems - B. 2023. 28. 12. 6345-6361
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Masaharu Nagayama, Harunori Monobe, Koya Sakakibara, Ken-Ichi Nakamura, Yasuaki Kobayashi, Hiroyuki Kitahata. On the reaction-diffusion type modelling of the self-propelled object motion. Scientific Reports. 2023. 13. 1
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Goro Akagi, Christian Kuehn, Ken-Ichi Nakamura. Traveling wave dynamics for Allen-Cahn equations with strong irreversibility. Transactions of the American Mathematical Society. 2022. 375. 3173-3238
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Masaaki Uesaka, Ken-Ichi Nakamura, Keiichi Ueda, Masaharu Nagayama. Stability of stationary points for one-dimensional Willmore energy with spatially heterogeneous term. Physica D: Nonlinear Phenomena. 2021. 417. 132812-132812
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Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara, Chin-Chin Wu. Traveling wave solutions for a predator-prey system with two predators and one prey. Nonlinear Analysis: Real World Applications. 2020. 54. 103111-103111
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MISC (109)：
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Existence of recurrent traveling waves in a 2D saw-toothed cylinder --- the virtual pinning case. University of Paris-Sud. 2010
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Homogenization limit of recurrent traveling waves in a two-dimensional cylinder with undulating boundary. International Associated Laboratory "Reaction-Diffusion Laboratory". 2010
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Existence of recurrent traveling waves in a 2D saw-toothed cylinder --- the virtual pinning case. University of Paris-Sud. 2010
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Homogenization limit of recurrent traveling waves in a two-dimensional cylinder with undulating boundary. International Associated Laboratory "Reaction-Diffusion Laboratory". 2010
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Homogenization limit of recurrent traveling waves in a saw-toothed cylinder. International Associated Laboratory "Reaction-Diffusion Laboratory". 2009
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Lectures and oral presentations (32)：
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The sign of the speed of bistable traveling fronts in multi-species models
(ReaDiNet 2024: Recent Progresses in the theory of reaction and diffusion equations 2024)
-
Lotka-Volterra2種競争拡散系の双安定進行波の伝播方向
(芝浦工大数理科学科談話会 2024)
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The speed of bistable traveling fronts in the Lotka-Volterra competition-diffusion system
(A ReaDiNet workshop on reaction-diffusion systems and population dynamics 2024)
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Sign-definiteness conditions for the speed of bistable traveling fronts of the Lotka-Volterra competition-diffusion system
(NCTS Workshop on Bifurcation Phenomena and Evolutionary Equations 2024)
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The role of species mobility in competitive exclusion
(2024)
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Education (3)：
- 1993 - 1997 The University of Tokyo Graduate School of Mathematical Sciences Department of Mathematical Sciences
- 1991 - 1993 The University of Tokyo Graduate School of Mathematical Sciences Department of Mathematical Sciences
- 1987 - 1991 The University of Tokyo Faculty of Science Department of Mathematics
Professional career (1)：
- Doctor of Mathematical Sciences (The University of Tokyo)
Work history (4)：
- 2023/04 - 現在 Meiji University
- 2011/04 - 2023/03 金沢大学 准教授
- 2007/04 - 2011/03 電気通信大学 助教
- 1997/04 - 2007/03 電気通信大学 助手
Committee career (4)：
- 2022/03 - 2024/02 日本数学会 応用数学分科会 評議員
- 2009/10 - 2011/09 日本数学会 応用数学分科会委員
- 2006 - 2008 日本数学会 学会誌編集委員
- 2003/04 - 2006/04 日本応用数理学会 学会誌編集委員
Association Membership(s) (3)：
日本応用数理学会
, 日本数学会
, 日本数理生物学会
