Existence and global stability of traveling curved fronts in the Allen–Cahn equations H Ninomiya, M Taniguchi Journal of Differential Equations 213 (1), 204-233, 2005 | 174 | 2005 |
Diffusion, cross-diffusion and competitive interaction M Iida, M Mimura, H Ninomiya Journal of mathematical biology 53 (4), 617-641, 2006 | 165 | 2006 |
Entire solutions with merging fronts to reaction–diffusion equations Y Morita, H Ninomiya Journal of Dynamics and Differential Equations 18 (4), 841-861, 2006 | 133 | 2006 |
Some entire solutions of the Allen–Cahn equation Y Fukao, Y Morita, H Ninomiya Taiwanese Journal of Mathematics 8 (1), 15-32, 2004 | 109 | 2004 |
Global stability of traveling curved fronts in the Allen-Cahn equations H Ninomiya, M Taniguchi Discrete and Continuous Dynamical Systems 15 (3), 819, 2006 | 107 | 2006 |
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions ECM Crooks, EN Dancer, D Hilhorst, M Mimura, H Ninomiya Nonlinear Analysis: Real World Applications 5 (4), 645-665, 2004 | 96 | 2004 |
Traveling waves with paraboloid like interfaces for balanced bistable dynamics X Chen, JS Guo, F Hamel, H Ninomiya, JM Roquejoffre Annales de l'IHP Analyse non linéaire 24 (3), 369-393, 2007 | 81 | 2007 |
A competition-diffusion system approximation to the classical two-phase Stefan problem: To the memory of Professor Masaya Yamaguti D Hilhorst, M Iida, M Mimura, H Ninomiya Japan journal of industrial and applied mathematics 18, 161-180, 2001 | 77 | 2001 |
Entire solutions of reaction—diffusion equations with balanced bistable nonlinearities X Chen, JS Guo, H Ninomiya Proceedings of the Royal Society of Edinburgh Section A: Mathematics 136 (6 …, 2006 | 76 | 2006 |
Diffusion-induced blowup in a nonlinear parabolic system N Mizoguchi, H Ninomiya, E Yanagida Journal of Dynamics and Differential Equations 10, 619-638, 1998 | 50* | 1998 |
Stability of traveling curved fronts in a curvature flow with driving force H Ninomiya, M Taniguchi Methods and Applications of Analysis 8 (3), 429-450, 2001 | 49 | 2001 |
Diffusion-induced extinction of a superior species in a competition system M Iida, T Muramatsu, H Ninomiya, E Yanagida Japan journal of industrial and applied mathematics 15, 233-252, 1998 | 48 | 1998 |
Traveling curved fronts of a mean curvature flow with constant driving force H Ninomiya, M Taniguchi Free Boundary Problems: Theory and Applications I, Mathematical Sciences and …, 2000 | 46 | 2000 |
Reaction, diffusion and non-local interaction H Ninomiya, Y Tanaka, H Yamamoto Journal of mathematical biology 75, 1203-1233, 2017 | 41 | 2017 |
Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems M Fila, H Ninomiya, JL Vázquez Discrete and continuous dynamical systems 14 (1), 63, 2006 | 38 | 2006 |
Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity JS Guo, H Ninomiya, M Shimojo, E Yanagida Transactions of the American Mathematical Society 365 (5), 2447-2467, 2013 | 35 | 2013 |
Fast reaction limit of a three-component reaction–diffusion system H Murakawa, H Ninomiya Journal of mathematical analysis and applications 379 (1), 150-170, 2011 | 35 | 2011 |
Reaction versus diffusion: blow-up induced and inhibited by diffusivity M Fila, H Ninomiya Russian Mathematical Surveys 60 (6), 1217, 2005 | 34* | 2005 |
Stacked fronts for cooperative systems with equal diffusion coefficients M Iida, R Lui, H Ninomiya SIAM journal on mathematical analysis 43 (3), 1369-1389, 2011 | 30 | 2011 |
Fast reaction limit of competition-diffusion systems D Hilhorst, M Mimura, H Ninomiya Handbook of differential equations: evolutionary equations 5, 105-168, 2009 | 28 | 2009 |