Periodic traveling waves in a two-dimensional cylinder with saw-toothed boundary and their homogenization limit H Matano, KI Nakamura, B Lou Networks and Heterogeneous Media 1 (4), 537-568, 2006 | 63 | 2006 |
Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term KI Nakamura, H Matano, D Hilhorst, R Schätzle Journal of statistical physics 95, 1165-1185, 1999 | 49 | 1999 |
The global attractor of semilinear parabolic equations on H Matano, KI Nakamura Discrete and Continuous Dynamical Systems 3 (1), 1-24, 1996 | 39 | 1996 |
Traveling wave solutions for a predator–prey system with two predators and one prey JS Guo, KI Nakamura, T Ogiwara, CC Wu Nonlinear Analysis: Real World Applications 54, 103111, 2020 | 24 | 2020 |
Spiral traveling wave solutions of some parabolic equations on annuli 荻原俊子, 中村健一 Josai Mathematical Monographs 2, 15-34, 2000 | 20 | 2000 |
Spiral traveling wave solutions of nonlinear diffusion equations related to a model of spiral crystal growth T Ogiwara, KI Nakamura Publications of the Research Institute for Mathematical Sciences 39 (4), 767-783, 2003 | 18 | 2003 |
Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed B Lou, H Matano, KI Nakamura Journal of Differential Equations 255 (10), 3357-3411, 2013 | 16 | 2013 |
On the steadily rotating spirals JS Guo, KI Nakamura, T Ogiwara, JC Tsai Japan journal of industrial and applied mathematics 23, 1-19, 2006 | 15 | 2006 |
Effective speed of traveling wavefronts in periodic inhomogeneous media KI Nakamura Proc. Workshop “Nonlinear Partial Differential Equations and Related Topics …, 1999 | 15 | 1999 |
The sign of traveling wave speed in bistable dynamics JS Guo, KI Nakamura, T Ogiwara, CH Wu Discrete and Continuous Dynamical Systems 40 (6), 3451-3466, 2019 | 9 | 2019 |
Stability and uniqueness of traveling waves for a discrete bistable 3-species competition system JS Guo, KI Nakamura, T Ogiwara, CC Wu Journal of Mathematical Analysis and Applications 472 (2), 1534-1550, 2019 | 9 | 2019 |
Blow-up solutions appearing in the vorticity dynamics with linear strain KI Nakamura, H Okamoto, H Yagisita Journal of Mathematical Fluid Mechanics 6 (2), 157-168, 2004 | 7 | 2004 |
A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction 中村健一 The science reports of the Kanazawa University= 金沢大学理科報告 57, 13-34, 2013 | 6 | 2013 |
Periodically growing solutions in a class of strongly monotone semiflows KI Nakamura, T Ogiwara Networks and Heterogeneous Media 7 (4), 881-891, 2012 | 4 | 2012 |
Front propagation and blocking for the competition-diffusion system in a domain of half-lines with a junction Y Morita, KI Nakamura, T Ogiwara Discrete and Continuous Dynamical Systems-B 28 (12), 6345-6361, 2023 | 1 | 2023 |
On the reaction–diffusion type modelling of the self-propelled object motion M Nagayama, H Monobe, K Sakakibara, KI Nakamura, Y Kobayashi, ... Scientific reports 13 (1), 12633, 2023 | 1 | 2023 |
Stability of stationary points for one-dimensional Willmore energy with spatially heterogeneous term M Uesaka, KI Nakamura, K Ueda, M Nagayama Physica D: Nonlinear Phenomena 417, 132812, 2021 | 1 | 2021 |
Traveling wave dynamics for Allen-Cahn equations with strong irreversibility G Akagi, C Kuehn, KI Nakamura Transactions of the American Mathematical Society 375 (5), 3173-3238, 2022 | | 2022 |
Numerical approach to three-dimensional model of cellular electrophysiology by the method of fundamental solutions KI Nakamura, K Sakakibara, S Yazaki JSIAM Letters 11, 17-20, 2019 | | 2019 |
Bifurcations of steady states for the Eguchi–Oki–Matsumura model of phase separation N Ishimura, KI Nakamura, M Nakamura Applicable Analysis 85 (6-7), 831-843, 2006 | | 2006 |