Ken-Ichi Nakamura
Ken-Ichi Nakamura
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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
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
The global attractor of semilinear parabolic equations on
H Matano, KI Nakamura
Discrete and Continuous Dynamical Systems 3 (1), 1-24, 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
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
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
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
On the steadily rotating spirals
JS Guo, KI Nakamura, T Ogiwara, JC Tsai
Japan journal of industrial and applied mathematics 23, 1-19, 2006
Effective speed of traveling wavefronts in periodic inhomogeneous media
KI Nakamura
Proc. Workshop “Nonlinear Partial Differential Equations and Related Topics …, 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
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
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
A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction
The science reports of the Kanazawa University= 金沢大学理科報告 57, 13-34, 2013
Periodically growing solutions in a class of strongly monotone semiflows
KI Nakamura, T Ogiwara
Networks and Heterogeneous Media 7 (4), 881-891, 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
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
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
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
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
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
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