Rchr
J-GLOBAL ID:200901005993471712
Update date: Aug. 05, 2024
EI Shin-Ichiro
エイ シンイチロウ | EI Shin-Ichiro
Affiliation and department:
Job title:
Professor
Homepage URL (1):
http://www.math.sci.hokudai.ac.jp/~Eichiro/index2.html
Research field (4):
Basic analysis
, Mathematical analysis
, Applied mathematics and statistics
, Basic mathematics
Research keywords (32):
反応拡散系
, 反応拡散方程式
, パルスダイナミクス
, パルス解
, 界面ダイナミクス
, パターン形成
, パルス相互作用
, 非線形発展方程式
, 自己組織化
, 反応拡散方程式系
, 平均曲率流
, 界面方程式
, 中心多様体
, 自己複製パターン
, 局在解
, 特異点
, 関数方程式
, 関数方程式論
, フロント進行波解
, 平面解
, 分岐構造
, 不変多様体
, パルスの弾性的反射
, 粒子的反射運動
, 4階の方程式
, 分岐点
, 曲面の運動
, 欠陥のダイナミクス
, 摂動展開
, チューリング不安定性
, 大域解析学
, Large Area Analysis
Research theme for competitive and other funds (38):
- 2022 - 2025 On the motion of localized spot solutions in a domain with boundaries
- 2019 - 2024 Integrated modeling for pattern formation of cell polarity formation in asymmetric cell division
- 2014 - 2020 生命現象における時空間パターンを支配する普遍的数理モデル導出に向けた数学理論の構築
- 2014 - 2019 複雑現象を数理モデル化するための理論の構築
- 2014 - 2018 Elucidation of phenomena in the higher dimensional domain applying the reduced system and construction of the mathematical method
- 2012 - 2017 高次元局在パターンの運動を解析するための理論
- 2012 - 2016 Theory for the analysis on the motion of localized patterns in higher dimesional spaces
- 2010 - 2014 Semi-strong interactions of front and pulse solutions in reaction-diffusion systems
- 2009 - 2012 Study on the strong interaction among spatially localized patterns in dissipative systems
- 2008 - 2012 Theory of global well-posedness on the nonlinear partial differential equations
- 2009 - 2011 Interfacial equations near a bifurcation point and the applications
- 2008 - 2011 Development of computer assisted analysis for complicated nonlinear phenomena
- 2008 - 2010 Study on the global structure of the stationary solutions of Reaction diffusion equation and its limiting system
- 2007 - 2010 New development of the qualitative theory of nonlinear parabolic and elliptic equations
- 2006 - 2010 Mathematical Theory of Nonlinear-Non-equilibrium Reaction-Diffusion Systems
- 2007 - 2009 Mathematical analysis of front and pulse dynamics in heterogeneous diffusive media
- 2006 - 2009 Hamiltonian structure in the pattern selection problems of dissipative systems
- 2005 - 2007 Asymptotic behaivours of solutions for nonlinear wave equations
- 2004 - 2007 Exploration for Complex Dynamics of Particle Patterns in Dissipative Systems
- 2004 - 2007 Dynamics of patterns and their interactions for nonlinear evolutional equations
- 2004 - 2006 ネットワーク構造に対する非線形解析
- 2003 - 2006 Dynamics on Nonlinear Diffusive Systems and Analysis of Singularities
- 2003 - 2005 Mathematical Approach to Nonlinear-Non-equilibrium Phenomena - Understanding of Transient Spatio-temporal Patterns-
- 2002 - 2005 Asymptotic behavior of solutions and stability of nonlinear waves for equations of gas motion
- 2002 - 2004 逐次分岐によるロバストな形態形成ダイナミクスの解明
- 2001 - 2004 Qualitative theory and asymptotic analysis of nonlinear partial differential equations
- 2000 - 2003 Dynamics of localized patterns in nonlinear evolutional systems
- 2000 - 2002 Pattern dynamics and asymptotic analysis in reaction-diffusion systems
- 1999 - 2001 Understanding of Spatio-temporal patterns by Singular Limit Methods
- 1997 - 1999 非線形発展方程式に現われる界面の運動
- 1995 - 1995 量子群の非可換幾何
- 1994 - 1994 量子群の非可換幾何
- 1993 - 1993 非線形発展方程式系における不変多様体お大域的構造についての研究
- 1991 - 1991 非線形微分方程式の定性的研究
- 1989 - 1989 非線形発展方程式系の解の構造についての研究
- Nonlinear Partial Diflerential Equations
- 非線形偏微分方程式
- Nonlinear Partial Diflerential Equations
Show all
Papers (59):
-
Shin-Ichiro Ei, Hideo Ikeda, Toshiyuki Ogawa. Bifurcation of co-existing traveling wave solutions in a three-component competition-diffusion system. Physica D: Nonlinear Phenomena. 2023. 448. 133703-133703
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Shin-Ichiro Ei, Ken Mitsuzono, Haruki Shimatani. The dynamics of pulse solutions for reaction diffusion systems on a star shaped metric graph with the Kirchhoff's boundary condition. Discrete and Continuous Dynamical Systems - B. 2023. 28. 12. 6064-6091
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Shin-Ichiro Ei, Hideo Ikeda, Toshiyuki Ogawa. Alien invasion into the buffer zone between two competing species. Discrete and Continuous Dynamical Systems - B. 2023
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Takashi Hayashi, Takeshi Tomomizu, Takamichi Sushida, Masakazu Akiyama, Shin-Ichiro Ei, Makoto Sato. Tiling mechanisms of the Drosophila compound eye through geometrical tessellation. Current biology : CB. 2022. 32. 9. 2101-2109
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Shin-Ichiro Ei, Hiroyuki Ochiai, Yoshitaro Tanaka. Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains. Journal of Computational and Applied Mathematics. 2022. 402. 113795-113795
more...
MISC (99):
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佐藤純, 林貴史, 須志田隆道, 秋山正和, 栄伸一郎. 幾何学分割による複眼のタイリング機構. 日本神経化学会大会抄録集(Web). 2022. 65th
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Chao Nien Chen, Shin Ichiro Ei, Shin Ichiro Ei, Shyuh yaur Tzeng. Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems. Physica D: Nonlinear Phenomena. 2018
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田中吉太郎, 八杉徹雄, 佐藤純, 栄伸一郎. 分化の波の数理モデルに対する離散構造を保持する連続化の提案. 日本応用数理学会年会講演予稿集(CD-ROM). 2017. 2017. 43-44
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田中吉太郎, 八杉徹雄, 佐藤純, 長山雅晴, 栄伸一郎. 分化の波のノイズ抑制機構に対する数理モデリングと実験からのアプローチ. 計算工学講演会論文集(CD-ROM). 2017. 22. ROMBUNNO.D-05-5
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田中 吉太郎, 八杉 徹雄, 佐藤 純, 長山 雅晴, 栄 伸一郎. Complementary study for the mechanism of the noise canceling for wave of differentiation via mathematical modeling and experiment. 計算工学講演会論文集 Proceedings of the Conference on Computational Engineering and Science. 2017. 22. 5p
more...
Books (12):
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Nonlinear dynamics in partial differential equations
Mathematical Society of Japan 2015 ISBN:9784864970228
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Study group workshop 2013 数学協働プログラム lecture & report
九州大学マス・フォア・インダストリ研究所 : 九州大学大学院数理学府 2014
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A mathematical approach to research problems of science and technology : theoretical basis and developments in mathematical modeling
Springer 2014 ISBN:9784431550594
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科学・技術の研究課題への数学アプローチ : 数学モデリングの基礎と展開
九州大学マス・フォア・インダストリ研究所 : 九州大学大学院数理学研究院グローバルCOEプログラム「マス・フォア・インダストリ教育研究拠点」 2013
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パターンダイナミクスの数理とその周辺
京都大学数理解析研究所 2009
more...
Lectures and oral presentations (267):
-
Effective kernels for pattern formation problems
(Turing Symposium on Morphogenesis, 2024 - a Panorama in Turing's Sight - 2024)
-
Pulse dynamics on a metric graph
(2023)
-
On the contraction of pattern formation problem
(Dynamics Days Kagurazaka 2023 2023)
-
Interaction of localized patterns in two dimensional spaces
(Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications 2023)
-
A Billiard Problem in Nonlinear Dissipative Systems
(ICMMA 2023 2023)
more...
Education (4):
- - 1987 Hiroshima University
- - 1987 Hiroshima University Graduate School, Division of Natural Science
- - 1982 Kyoto University Faculty of Science
- - 1982 Kyoto University Faculty of Science
Professional career (2):
Work history (3):
- 2024/04 - 現在 Josai University Faculty of Sciences
- 2013/04 - 2024/03 Hokkaido University
- 2012 - 2013 Kyushu University
Committee career (5):
- 2023/08 - Sapporo Symposium on Partial Differential Equations The 48th Sapporo Symposium on Partial Differential Equations, Organizing Committee
- 2022/08 - Sapporo Symposium on Partial Differential Equations The 47th Sapporo Symposium on Partial Differential Equations, Committee
- 2022/02 - The 23rd Northeastern Symposium on Mathematical Analysis Chairperson of Committee
- 2021/08 - Sapporo Symposium on Partial Differential Equations The 46th Sapporo Symposium on Partial Differential Equations, Committee
- 2012/03 - 2014/02 日本数学会 応用数学分科会評議員
Awards (1):
- 2022年度日本数学会応用数学賞 Contraction method and the applications for nonlinear partial differential systems
Association Membership(s) (3):
THE JAPANESE SOCIETY FOR MATHEATICAL BIOLOGY
, 日本応用数理学会
, 日本数学会
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