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Dive into the research topics where Isamu Ohnishi is active.

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Featured researches published by Isamu Ohnishi.


Japan Journal of Industrial and Applied Mathematics | 2003

Standing pulse solutions for the FitzHugh-Nagumo equations

Yoshihito Oshita; Isamu Ohnishi

We are basically concerned with existence of standing pulse solutions for an elliptic equation with a nonlocal term. The problem comes from an activator-inhibitor system such as the FitzHugh-Nagumo equations with inhibitor’s diffusion or arises in the Allen-Cahn equation with the nonlocal term. We prove it mathematically rigorously in a bounded domainΩ ⊂Rn (n ≥ 2) with smooth boundary, by employing the Lyapunov-Schmidt reduction method, which is the same kind of way as used typically in [2], [9], [10], [13], for instance.


Hokkaido Mathematical Journal | 2007

Mathematical analysis to an adaptive network of the Plasmodium system

Tomoyuki Miyaji; Isamu Ohnishi


Physica D: Nonlinear Phenomena | 2010

Bifurcation analysis to the Lugiato–Lefever equation in one space dimension

Tomoyuki Miyaji; Isamu Ohnishi; Yoshio Tsutsumi


International Journal of Dynamical Systems and Differential Equations | 2008

Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system

Tomoyuki Miyaji; Isamu Ohnishi; Atsushi Tero; Toshiyuki Nakagaki


Colloids and Surfaces A: Physicochemical and Engineering Aspects | 2008

Macroscopic pattern formation of liquid crystal in κ-carrageenan gel

Takayuki Narita; Isamu Ohnishi; Masayuki Tokita; Yushi Oishi


Tohoku Mathematical Journal | 2011

Stability of a stationary solution for the Lugiato-Lefever equation

Tomoyuki Miyaji; Isamu Ohnishi; Yoshio Tsutsumi


Hiroshima Mathematical Journal | 2007

A billiard problem in nonlinear and nonequilibrium systems

Masayasu Mimura; Tomoyuki Miyaji; Isamu Ohnishi


Archive | 2007

A mathematical aspect for Liesegang phenomena

Isamu Ohnishi; Masayasu Mimura


数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu | 2010

Mathematical analysis to coupled oscillators system with a conservation law (Applications of Renormalization Group Methods in Mathematical Sciences)

Tomoyuki Miyaji; Isamu Ohnishi; Ryo Kobayashi; Atsuko Takamatsu


Archive | 2010

Mathematical analysis to coupled oscillators system with a conservation law

Tomoyuki Miyaji; Isamu Ohnishi; Ryo Kobayashi; Atsuko Takamatsu

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