5 citations · 6 across the 6 of their papers we have counts for
10 papers
Exploring global landscape of free energy for the coupled Cahn-Hilliard equations
Keiichiro Kagawa, Takeshi Watanabe, Yasumasa Nishiura
Describing the complex landscape of infinite-dimensional free energy is generally a challenging problem. This difficulty arises from the existence of numerous minimizers and, conse…
Arbitrarily weak head-on collision can induce annihilation -- The role of hidden instabilities
Yasumasa Nishiura, Takashi Teramoto, Kei-Ichi Ueda
In this paper, we focus on annihilation dynamics for the head-on collision of traveling patterns. A representative and well-known example of annihilation is the one observed for 1-…
Dynamics of N-spot rings with oscillatory tails in a three-component reaction-diffusion system
Yasumasa Nishiura, Shuangquan Xie
In two-dimensional space, we investigate the slow dynamics of multiple localized spots with oscillatory tails in a specific three-component reaction-diffusion system, whose key fea…
Traveling pulses with oscillatory tails, figure-eight-like stack of isolas, and dynamics in heterogeneous media
Yasumasa Nishiura, Takeshi Watanabe
The interplay between 1D traveling pulses with oscillatory tails (TPO) and heterogeneities of bump type is studied for a generalized three-component FitzHugh-Nagumo equation. First…
Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement
Zhen Xu, Yucen Han, Jianyuan Yin +3
We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional domain by using the extended Ohta--Kawasaki model. The projected saddle…
Matched asymptotic expansion approach to pulse dynamics for a three-component reaction diffusion systems
Yasumasa Nishiura, Hiromasa Suzuki
We study the existence and stability of standing pulse solutions to a singularly perturbed three-component reaction diffusion system with one-activator and two-inhibitor type. We a…