Transition layers for a bistable reaction-diffusion equation with variable diffusion

Michio Urano

doi:10.1619/fesi.53.21

Transition layers for a bistable reaction-diffusion equation with variable diffusion

Michio Urano

Waseda University Senior High School

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

Abstract

This paper is concerned with the stationary problem for a bistable reaction-diffusion equation which possesses spatially inhomogeneous effects both in its diffusion and reaction terms. For this problem, we are interested in solutions with transition layers. Our main purpose is to study precise profiles of such solutions. In particular, we will determine the location of transition layers. Moreover, we will show some conditions under which one can observe multi-layers.

Original language	English
Pages (from-to)	21-49
Number of pages	29
Journal	Funkcialaj Ekvacioj
Volume	53
Issue number	1
DOIs	https://doi.org/10.1619/fesi.53.21
Publication status	Published - 2010 Apr

Keywords

Bistability
Multi-layer
Reaction-diffusion
Single-layer
Spatial inhomogeneity
Transition layer

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1619/fesi.53.21

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AB - This paper is concerned with the stationary problem for a bistable reaction-diffusion equation which possesses spatially inhomogeneous effects both in its diffusion and reaction terms. For this problem, we are interested in solutions with transition layers. Our main purpose is to study precise profiles of such solutions. In particular, we will determine the location of transition layers. Moreover, we will show some conditions under which one can observe multi-layers.

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Transition layers for a bistable reaction-diffusion equation with variable diffusion

Abstract

Keywords

ASJC Scopus subject areas

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