Stable stationary patterns and interfaces arising in reaction-diffusion systems

Yoshihito Oshita

doi:10.1137/S0036141002406722

Stable stationary patterns and interfaces arising in reaction-diffusion systems

Yoshihito Oshita

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We study reaction-diffusion systems with FitzHugh-Nagumo-type nonlinearity. We consider the rich structures of stable stationary solutions for two different parameter scalings with the corresponding limiting problems. We study the complex phase separation patterns and derive the stationary interface equation for the limiting problems.

Original language	English
Pages (from-to)	479-497
Number of pages	19
Journal	SIAM Journal on Mathematical Analysis
Volume	36
Issue number	2
DOIs	https://doi.org/10.1137/S0036141002406722
Publication status	Published - Mar 29 2005
Externally published	Yes

Keywords

Microscopic structure
Sharp interface
Young measure

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1137/S0036141002406722

Cite this

@article{01cf13ab5a1b4c8b9fbee246e64d4451,

title = "Stable stationary patterns and interfaces arising in reaction-diffusion systems",

abstract = "We study reaction-diffusion systems with FitzHugh-Nagumo-type nonlinearity. We consider the rich structures of stable stationary solutions for two different parameter scalings with the corresponding limiting problems. We study the complex phase separation patterns and derive the stationary interface equation for the limiting problems.",

keywords = "Microscopic structure, Sharp interface, Young measure",

author = "Yoshihito Oshita",

year = "2005",

month = mar,

day = "29",

doi = "10.1137/S0036141002406722",

language = "English",

volume = "36",

pages = "479--497",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "2",

}

TY - JOUR

T1 - Stable stationary patterns and interfaces arising in reaction-diffusion systems

AU - Oshita, Yoshihito

PY - 2005/3/29

Y1 - 2005/3/29

N2 - We study reaction-diffusion systems with FitzHugh-Nagumo-type nonlinearity. We consider the rich structures of stable stationary solutions for two different parameter scalings with the corresponding limiting problems. We study the complex phase separation patterns and derive the stationary interface equation for the limiting problems.

AB - We study reaction-diffusion systems with FitzHugh-Nagumo-type nonlinearity. We consider the rich structures of stable stationary solutions for two different parameter scalings with the corresponding limiting problems. We study the complex phase separation patterns and derive the stationary interface equation for the limiting problems.

KW - Microscopic structure

KW - Sharp interface

KW - Young measure

UR - http://www.scopus.com/inward/record.url?scp=14944376541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14944376541&partnerID=8YFLogxK

U2 - 10.1137/S0036141002406722

DO - 10.1137/S0036141002406722

M3 - Article

AN - SCOPUS:14944376541

SN - 0036-1410

VL - 36

SP - 479

EP - 497

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 2

ER -

Stable stationary patterns and interfaces arising in reaction-diffusion systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this