419 citations · 451 across the 12 of their papers we have counts for
12 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…
Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system
Shuangquan Xie, Theodore kolokolnikov, Yasumasa Nishiura
In this paper, we introduce a three-component Schnakenberg model. Its key feature is that it has a solution consisting of N spikes that undergoes a Hopf bifurcation with respect to…
Visualizing key features in X-ray images of epoxy resins for improved material classification using singular value decomposition of deep learning features
Edgar Avalos, Kazuto Akagi, Yasumasa Nishiura
Although the process variables of epoxy resins alter their mechanical properties, the visual identification of the characteristic features of X-ray images of samples of these mater…
Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media
Kei Nishi, Yasumasa Nishiura, Takashi Teramoto
The dynamics of pulse solutions in a bistable reaction-diffusion system are studied analytically by reducing partial differential equations (PDEs) to finite-dimensional ordinary di…
Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass
Takenobu Nakamura, Yasuaki Hiraoka, Akihiko Hirata +2
Characterization of medium-range order in amorphous materials and its relation to short-range order is discussed. A new topological approach is presented here to extract a hierarch…
Hierarchical structures of amorphous solids characterized by persistent homology
Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata +3
This article proposes a topological method that extracts hierarchical structures of various amorphous solids. The method is based on the persistence diagram (PD), a mathematical to…
Continuous model for pathfinding system with self-recovery property
Kei-Ichi Ueda, Yasumasa Nishiura, Yoko Yamaguchi +1
This study propose a continuous pathfinding system based on coupled oscillator systems. We consider acyclic graphs whose vertices are connected by unidirectional edges. The propose…