NINOMIYA HIROKAZU

ニノミヤヒロカズ | NINOMIYA HIROKAZU

Affiliation and department：

Research field (3)： Basic mathematics , Applied mathematics and statistics , Mathematical analysis

Research theme for competitive and other funds (39)：

2022 - 2027 Analysis of dynamic singularities in parabolic partial differential equations
2020 - 2024 Traveling fronts whose cross sections are convex shapes with major axes and minor axes in balanced bistable reaction-diffusion equations
2020 - 2024 Mathematical analysis of pattern dynamics of reaction-diffusion systems and their singular limit problems
2015 - 2019 Study on the profiles and dynamics of solutions to reaction-diffusion systems through the asymptotic analysis
2016 - 2019 不整脈および除細動のための数学的基盤整備

2016 - 2019 Relation between complex singularity and patterns in nonlinear partial differential equations

2014 - 2018 Pattern dynamics of reaction-diffusion systems and free boundary problems

2013 - 2016 The mechanism of spontaneous spiral formation in ventricular fibrillation

2012 - 2015 Research on profiles and the global bifurcation structure by explicit representation formula using elliptic functions

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

2011 - 2014 Quasi-solutions generating non-equiribrium growth patterns

2009 - 2011 Theory of characterization and existence for entire solutions to reaction-diffusion equations in the multi-dimensional space.

2009 - 2011 Differential equations reduced to transcendental equations including complete elliptic integrals and their global solution structure

2008 - 2010 Construction of reaction-diffusion systems suitable to track interfacial dynamics

2008 - 2010 反応拡散系の解の大域的挙動と非線形性の分類

2007 - 2010 Study on systems of partial differential equations applying the abstract algebra

2007 - 2010 New development of the qualitative theory of nonlinear parabolic and elliptic equations

2006 - 2008 Research on the stability and asymptotic shapes of nonlocal nonlinear boundary value problems including unknown definite integrals

2006 - 2007 反応拡散系における解および非線形性の相互関係

2004 - 2006 ネットワーク構造に対する非線形解析

2004 - 2006 A Poincare-Hopf type theorem for holomorphic one forms

2003 - 2006 Dynamics on Nonlinear Diffusive Systems and Analysis of Singularities

2003 - 2005 非線形偏微分方程式系から現れる樹状形状の解析

2003 - 2005 Global solution structure and the stability of nonlocal nonlinear second order boundary value problems with definite integrals

2003 - 2005 Solution structure around bifurcation points of co-dimension 2

2003 - 2005 Mathematical studies for models of superconductivity

2001 - 2003 Research on Systems of Partial Differential Equations Appling the Abstract Algebra

2000 - 2002 Research on canonical forms to nonlinear elliptic boundary value problems and the global structure of all solutions including singular solutions

2000 - 2002 Mathematical Analysis of helical waves arising in some-reaction diffusion systems

2000 - 2001 熱対流におけるパターン選択メカニズムの数理的解明

1999 - 2000 反応拡散方程式系における拡散の役割と爆発の関係について

1999 - 2000 Stability of Vortices and Numerical Analysis of Ginzburg-Landau Equation

1999 - 1999 抽象的な代数を利用した偏微分方程式の研究

1997 - 1999 Mathematical studies on spatial and temporal patterns in reaction-diffusion systems

1997 - 1998 反応拡散方程式系における拡散の役割について

1997 - 1998 Mathematical Analysis of Infinite Dimensional Stochastic Models

1996 - 1996 非線形問題における拡散誘導現象について

1996 - 1996 数理物理・数理生物のモデルに関する確率解析

1995 - 1995 無限次元拡散モデルの解析

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Papers (66)：

H. Ninomiya. Entire solutions of the Allen-Cahn-Nagumo equation in a multi-dimensional space. Discrete and continuous dynamical systems. Ser. A. 2021. 41. 395-412
W.D. Martinson, H. Ninomiya, H.M. Byrne, and P.K. Maini. Comparative analysis of continuum angiogenesis models. Journal of mathematical biology. 2021. 82. 4. 1-34
Hirokazu Ninomiya, Hiroko Yamamoto. A reaction-diffusion approximation of a semilinear wave equation. Journal of Differential Equations. 2021. 272. 289-309
C. Aida, C.-N. Chen, K. Kuto and H. Ninomiya. Bifurcation from infinity with applications to reaction-diffusion systems. Discrete and continuous dynamical systems. Ser. A. 2020. 40. 6. 3031-3055
H. Mitake, H. Ninomiya, K. Todoroki. A level set approach for multi-layered interface systems. 2020. 22. 383-400

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MISC (13)：

Catheriene Bandle, Yoshitsugu Kabeya, Hirokazu Ninomiya. Bifurcating solutions of a nonlinear elliptic Neumann problem on large spherical caps. Funkcialaj Ekvacioj. 2019. 62
Ninomiya Hirokazu. Diffusion-induced bifurcations from the stationary solutions and infinity (Nonlinear Partial Differential Equations, Dynamical Systems and Their Applications). RIMS Kokyuroku. 2014. 1881. 134-138
Ninomiya Hirokazu. Propagating waves in wave front interaction model (Nonlinear evolution equations and mathematical modeling). RIMS Kokyuroku. 2010. 1693. 99-103
Ninomiya Hirokazu. On the singular limit methods (Theory of Biomathematics and its Applications IV). RIMS Kokyuroku. 2008. 1597. 56-61
Bandle Catherine, Kabeya Yoshitsugu, Ninomiya Hirokazu. Solutions having boundary layers to a nonlinear elliptic equation on a spherical cap (Nonlinear Evolution Equations and Mathematical Modeling). RIMS Kokyuroku. 2008. 1588. 74-86

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Books (2)：

Invasion, propagation and diffusion
2014
"Recent Advances on Elliptic and Parabolic Issues, Swiss-Japanese Seminar Zurich, December 2004 Switzerland"
World Scientific Publishing Co. SINGAPORE 2006

Awards (1)：

2020 - 日本数学会第19回(2020年度)解析学賞

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