Tsujikawa Tohru

ツジカワトオル | Tsujikawa Tohru

Affiliation and department：

Research field (1)： Mathematical analysis

Research theme for competitive and other funds (29)：

2012 - 2015 A theoretical approach to constructing asymptotic solutions to reaction-diffusion systems

2010 - 2015 Study on the relation between the mean field of the equilibrium vortices and the vortex system

2013 - 2015 生物を模倣した時空間秩序変数を持つネットワーク構造の理解と応用

2008 - 2012 Structural Analysis on Exponential Attractors for Dissipative Systems

2008 - 2011 界面を追跡しやすい反応拡散系の構築

2009 - 2011 偏微分方程式に対する異種項混合の数値計算法の開発

2008 - 2010 反応拡散方程式の大域的解構造と縮約系についての研究

2008 - 2010 Gloabl solution structure of reaction diffusion equation and its limiting system

2007 - 2009 Study on collision phenomena of blow-up points appear in Liouville systems and those of vortices

2006 - 2009 On the Study of behavior of blowup solutions to a chemotaxis system in high dimensional domains

2006 - 2009 Mathematical studies on fluid motions under certain conditions

2005 - 2008 反応拡散方程式の縮約系とそれに関わる漸近挙動

2005 - 2007 Limiting system of some reaction diffusion equation and asymptitic analysys

2004 - 2007 Mathematical Structure for Forest Bynamics with Interaction between Trees and Soils

2003 - 2005 移流項を含む反応拡散方程式による集合パターンの漸近解析

2003 - 2005 Investigation of the global bifurcations/imperfect bifurcations in nonlinear elliptic partial differential equations

2003 - 2005 On blowup points and asymptotic behavior of blowup solutions to a simplified chemotaxis system

2003 - 2004 Asymptotic analysys of the aggregating pattern of some reaction diffusion equation with advection term

2002 - 2003 Numerical analysis of attractors determined from nonlinear diffusion systems

1998 - 2002 ある反応拡散方程式の縮約系と2次元パターンについて

2001 - 2002 Research of the behavior of infinite time blowup solutions to systems related to chemotaxis and those blowup points

2000 - 2002 Development of reaction-diffusion systems - Studies of singular limit methods -

1999 - 2000 Blowup and concentration of solutions to a system of chemotaxis

1996 - 1997 空間多次元領域に於ける反応拡散方程式が持つパターンの安定性について

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Papers (73)：

Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani. Representation formulas for stationary solutions of a cell polarization model. Japan Journal of Industrial and Applied Mathematics. 2022
Tatsuki Mori, Sohei Tasaki, Tohru Tsujikawa, Shoji Yotsutani. All global bifurcation diagrams of stationary solutions to a phase field model. Discrete and Continuous Dynamical Systems - B. 2022
Yasuhito Miyamono, Tatsuki Mori, Tohru Tsujikawa, Shoji Yotsutani. Stability for stationary solutions of a nonlocal Allen-Cahn equation. Journal of Differential Equations. 2021. 275. 581-597
Tatsuki Mori, Kousuke Kuto, Tohru Tsujikawa, Shoji Yotsutani. Representation formulas of solutions and bifurcation sheets to a nonlocal Allen-Cahn equation. Discrete Conti. Dynam. Systems Series A. 2020. 40. 8. 4907-4925
Hirofumi Izuhara, Kousuke Kuto, Tohru Tsujikawa. Bifurcation structure of stationary solutions for a chemotaxis system with bistable growth. Japan Journal of Industrial and Applied Mathematics. 2018. 35. 2. 441-475

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MISC (12)：

Tohru Tsujikawa. Pattern formation in a chemotaxis model including growth. Bulletin of the Japan Society for Industrial and Applied Mathematics. 2009. 19. 4. 9-20
Michal B, Petr K, Tohru T, Shigetoshi Y. Kybernetika: Special issue: Editorial. Kybernetika. 2009. 45. 4. 565-566
Tohru Tsujikawa. Singular limit analysis to higher dimensional patterns of a chemotaxis growth system. Kokyuroku of RIMS Vol. 1475, 139-148. 2006. 1475. 1475. 139-148
T. Tsujikawa, M. Mimura. Singular limit analysis of aggregating patterns in chemotaxis-growth model. Kokyuroku of RIMS. 2003. 1330. 149-160
TSUJIKAWA Tohru. Exponental attractor for an adsorbate-induced phase transition model. Kyusyu Journal of Mathmatics. 2002. 56(2), 313

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Books (8)：

微分積分学入門
学術図書出版社 2021
微分積分の押さえどころ
学術図書出版社 2019
Complexity and Synergetics
Springer 2017 ISBN:9783319643335
線形代数入門
学術図書出版社 2017 ISBN:9784780605952
Proceedings of Czech-Japanese Seminar in Applied Mathematics 2008 : held in Miyazaki on September 1-7, 2008
Faculty of Mathematics, Kyushu University, Global COE Program "Education-and-Research Hub for Mathematics-for-Industry" 2008

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Lectures and oral presentations (41)：

移流反応拡散方程式における振動現象について
(龍谷大学退官記念研究集会 2019)
積分条件付きスカラー方程式の定常解の大域的構造と2次分岐について
(第46回南大阪応用数学セミナー 2018)
Stability of bifurcating solutions for the Allen-Cahen equation
(研究集会「反応拡散系の理論と応用-現状と未来-」 2018)
Bifurcation structure of steady states for the one-dimensional nonlocal Allen-Cahn equation
(12th AIMS conferrence on Dynamical systems, Differential equations and Applications 2018)
非局所項を持つAllen-Cahn型方程式の定常解の大域的構造について
(第164回愛媛大学解析セミナー 2018)

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