Faculty Database - NINOMIYA Hirokazu

Research Topics, Consignment Studies & KAKENHI Researches

（Last updated : 2024-09-12 09:08:32）

NINOMIYA Hirokazu
Department Undergraduate School , School of Interdisciplinary Mathematical Sciences

Position Professor

■ Books and Papers

1.	2024	Article	Example of Turing’s instability by equal diffusion, Journal of Differential Equations 392,pp.255-265 (Single)
2.	2023	Article	Spatial homogenization by perturbation on the complex Ginzburg-Landau equation Japan Journal of Industrial and Applied Mathematics 40(2),pp.823-841 (Collaboration)
3.	2023	Article	Weak entire solutions of reaction–interface systems Discrete and continuous dynamical systems. Ser. B 28(12),pp.6015-6033 (Collaboration)
4.	2022	Article	Global existence and uniqueness of solutions for one-dimensional reaction-interface systems Journal of Differential Equations 324,pp.102-130 (Collaboration)
5.	2022	Article	Stationary solutions of an area-preserving curvature flow in an inhomogeneous medium Proceedings of the American Mathematical Society 150(5),pp.2095-2105 (Collaboration)
6.	2021	Article	A reaction-diffusion approximation of a semilinear wave equation Journal of Differential Equations 272,pp.289-309 (Collaboration)
7.	2021	Article	Comparative analysis of continuum angiogenesis models Journal of mathematical biology 82(4),pp.1-34 (Collaboration)
8.	2021	Article	Global dynamics on one-dimensional excitable media 53(6),pp.7081-7112 (Collaboration)
9.	2020	Article	A level set approach for multi-layered interface systems 22,pp.383-400 (Collaboration)
10.	2020	Article	Bifurcation from infinity with applications to reaction-diffusion systems Discrete and continuous dynamical systems. Ser. A 40(6),pp.3031-3055 (Collaboration)
11.	2019/10	Article	Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data Journal of Differential Equations 267(8),pp.4922-4947 (Collaboration)
12.	2019/02	Article	Traveling wave solutions for a bacteria system with density-suppressed motility Discrete and continuous dynamical systems. Ser. B 24(2),pp.931-940 (Collaboration)
13.	2019	Article	Entire solutions and traveling wave solutions of the Allen-Cahn-Nagumo equation Discrete and continuous dynamical systems. Ser. A 39,pp.2001-2019 (Single)
14.	2018	Article	Entire solutions originating from monotone fronts to the Allen-Cahn equation Physica D 378-379,pp.1-19 (Collaboration)
15.	2018	Article	Reaction-diffusion approximation of nonlocal interactions using Jacobi polynomials Japan J. Indust. Appl. Math. 35,pp.613-651 (Collaboration)
16.	2017	Article	Existence of rotating spots with spatially dependent feedback in the plane in a wave front interaction model Journal of Dynamics and Differential Equations 29(2),pp.465-483 (Collaboration)
17.	2017	Article	Mathematical approach to nonlocal interactions using a reaction-diffusion system Development, Growth & Differentiation pp.1-8 (Collaboration)
18.	2017	Article	Reaction, diffusion and non-local interaction Journal of Mathematical Biology 75(5),pp.1203-1233 (Collaboration)
19.	2017	Article	Traveling curved waves in two dimensional excitable media SIAM J. Mathematical Analysis 49(2),pp.777-817 (Collaboration)
20.	2017	Article	Traveling wave solutions with convex domains for a free boundary problem Discrete and continuous dynamical systems. Ser. A 37(2),pp.905-914 (Collaboration)
21.	2017	Article	Vanishing, moving and immovable interfaces in fast reaction limits Journal of Differential Equations 263(5),pp.2715-2735 (Collaboration)
22.	2016	Article	A reaction diffusion model for understanding phyllotactic formation Japan Journal of Industrial and Applied Mathematics 33,pp.183-205 (Collaboration)
23.	2015	Article	Traveling spots on multi-dimensional excitable media Journal of Elliptic and Parabolic Equations 1,pp.281-305 (Collaboration)
24.	2014	Book	Invasion, propagation and diffusion (Single)
25.	2014	Article	Eigenvalues of the Laplace-Beltrami operator on a large spherical cap under the Robin problem Kodai Mathematical Journal 37(3),pp.620-645 (Collaboration)
26.	2013	Article	Existence of a rotating wave pattern in a disk for a wave front interaction model Communications on Pure and Applied Analysis 12(2),pp.1049-1063 (Collaboration)
27.	2011	Article	Fast reaction limit of a three-component reaction-diffusion system Journal of Mathematical Analysis and Applications 379(1),pp.150-170 (Collaboration)
28.	2011	Article	Stacked Fronts for Cooperative Systems with Equal Diffusion Coefficients SIAM J. Math. Anal. 43(3),pp.1369-1389 (Collaboration)
29.	2010	Article	Existence and uniqueness of stabilized propagating wave segments in wave front interaction model Physica D Nonlinear Phenomena 239(3-4),pp.230—239 (Collaboration)
30.	2010	Article	Imperfect bifurcations in nonlinear elliptic equations on spherical caps Communications on Pure and Applied Analysis 9(5),pp.1189—1208 (Collaboration)
31.	2010	Article	Traveling wave solutions and entire solutions to reaction-diffusion equations SUGAKU Expositions 23(2),pp.213-233 (Collaboration)
32.	2009	Article	Fast Reaction Limit of Competition-Diffusion Systems Evolutionary Equations, Vol 5, Handbook of Differential Equations, Hungary pp.105--168 (Collaboration)
33.	2008/04	Article	Monotone-type traveling waves of bistable reaction-diffusion equations in the multi-dimensional space Bulletin of the Institute of Mathematics 3(4),pp.567-584 (Collaboration)
34.	2008/04	Article	Relative compactness in L^p of solutions of some 2m components competition-diffusion systems Discrete and continuous dynamical systems 21(1),pp.233-244 (Collaboration)
35.	2007/04	Article	J.- M. Roquejoffre, Traveling waves with paraboloid like interfaces for balanced bistable dynamics Anal. Non Lin?aire 24(3),pp.369-393 (Collaboration)
36.	2006/10	Article	Entire solutions with merging fronts to reaction-diffusion equations. J. Dynam. Differential Equations 18(4),pp.841-861 (Collaboration)
37.	2006/04	Book	"Recent Advances on Elliptic and Parabolic Issues, Swiss-Japanese Seminar Zurich, December 2004 Switzerland" pp.6月10日 (Collaboration)
38.	2006/04	Article	Diffusion, cross-diffusion and competitive interaction. J. Math. Biol. 53(4),pp.617-641 (Collaboration)
39.	2006/04	Article	Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems Discrete and continuous dynamical systems 14(1),pp.63-74 (Collaboration)
40.	2006/04	Article	Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities Proceedings of the Royal Society of Edinburgh. Sect. A 136A,pp.1207-1237 (Collaboration)
41.	2006/04	Article	Global stability of traveling curved fronts in the Allen-Cahn equations Discrete and continuous dynamical systems. 15(3),pp.819-832 (Collaboration)
42.	2006/04	Article	On p-homogeneous systems of differential equations and their linear perturbations Applicable Analysis 85,pp.225-246 (Collaboration)
43.	2006/04	Article	Traveling curved fronts of anisotropic curvature flows Japan J. Indust. Appl. Math 23,pp.83-104 (Collaboration)
44.	2005/04	Article	Existence and global stability of traveling curved fronts in the Allen-Cahn equations J. Differential Equations 213(1),pp.204-233 (Collaboration)
45.	2005/04	Article	Reaction versus diffusion: Blow-up induced and inhibited by diffusivity Russian Mathematical Surveys 60(6),pp.1217-1235 (Collaboration)
46.	2004/04	Article	Inward linear perturbation can produce unbounded solutions Math. Methods Appl. Sci 27(15),pp.1815-1818 (Collaboration)
47.	2004/04	Article	Some entire solutions of Allen-Cahn equation Taiwanese Journal of Mathematics 8(1),pp.15-32 (Collaboration)
48.	2004/04	Article	Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions Nonlinear Analysis: Real World Applications 5(4),pp.645-665 (Collaboration)
49.	2003/09	Article	Pest control may make the pest population explode. Z. Angew. Math. Phys 54(5),pp.869-873 (Collaboration)
50.	2002/02	Article	Imperfect bifurcations arising from elliptic boundary value problems. Nonlinear Anal. Ser. A: Theory Methods 48(5) (Collaboration)
51.	2001/04	Article	A competition-diffusion system approximation to the classical two-phase Stefan problem.Recent topics in mathematics moving toward science and engineering. Japan J. Indust. Appl. Math 18(2),pp.161-180 (Collaboration)
52.	2001/04	Article	A reaction-diffusion system approximation to the two-phase Stefan problem Nonlinear Analysis TMA 47,pp.801-812 (Collaboration)
53.	2001/04	Article	Stability of traveling curved fronts in a curvature flow with driving force. Methods Appl. Anal 8(3),pp.429-449 (Collaboration)
54.	2000/04	Article	Traveling curved fronts of a mean curvature flow with constant driving force GAKUTO International Series,Mathematical Sciences and Applications Vol.13 ``FREE BOUNDARY PROBLEMS: Theory and Applications I'' 13,pp.206-221 (Collaboration)
55.	1998/04	Article	Critical exponent for the multipolar blowup in a semilinear parabolic equation J. Math. Anal. and Appl. 218,pp.495-518 (Collaboration)
56.	1998/04	Article	Diffusion-induced blowup in a nonlinear parabolic system J. Dynamics and Differential Equations 10(4),pp.619-638 (Collaboration)
57.	1998/04	Article	Diffusion-induced extinction of a superior species in a competition system Japan J Industrial and Applied Mathematics 15(2),pp.233-252 (Collaboration)
58.	1996/04	Article	Asymptotic expansion of solutions to a chemical model with boundary reaction terms Funkcialaj Ekvacioj 39(1),pp.39-67 (Collaboration)
59.	1995/04	Article	Separatrices of competition-diffusion equations Journal of Mathematics of Kyoto University 35(3),pp.539-567 (Single)
60.	1994/09	Article	Nonlinear perturbation of boundary values for reaction-diffusion systems: Inertial manifolds and their applications SIAM Journal on Mathematical Analysis 25(5),pp.1320-1356 (Collaboration)
61.	1992/04	Article	Some remarks on inertial manifolds Journal of Mathematics of Kyoto University 32(4),pp.667-688 (Single)
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■ Research Topics, Consignment Studies & KAKENHI Researches

2016/04～2019/03

Relation between complex singularity and patterns in nonlinear partial differential equations (Key Word : )

■ Current Specialized Field

Basic mathematics, Mathematical analysis