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 | |
| Publication status | Published - 2010 Apr |
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Keywords
- Bistability
- Multi-layer
- Reaction-diffusion
- Single-layer
- Spatial inhomogeneity
- Transition layer
ASJC Scopus subject areas
- Algebra and Number Theory
- Analysis
- Geometry and Topology
Cite this
Transition layers for a bistable reaction-diffusion equation with variable diffusion. / Urano, Michio.
In: Funkcialaj Ekvacioj, Vol. 53, No. 1, 04.2010, p. 21-49.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Transition layers for a bistable reaction-diffusion equation with variable diffusion
AU - Urano, Michio
PY - 2010/4
Y1 - 2010/4
N2 - 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.
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.
KW - Bistability
KW - Multi-layer
KW - Reaction-diffusion
KW - Single-layer
KW - Spatial inhomogeneity
KW - Transition layer
UR - http://www.scopus.com/inward/record.url?scp=77953450539&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77953450539&partnerID=8YFLogxK
U2 - 10.1619/fesi.53.21
DO - 10.1619/fesi.53.21
M3 - Article
AN - SCOPUS:77953450539
VL - 53
SP - 21
EP - 49
JO - Funkcialaj Ekvacioj
JF - Funkcialaj Ekvacioj
SN - 0532-8721
IS - 1
ER -