Abstract
This paper studies traveling fronts to cooperation-diffusion systems in RN for N≥3. We consider (N-2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in RN-1, and define an equivalence relation between them. We prove that there exists a traveling front associated with a given surface and show its stability. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation.
| Original language | English |
|---|---|
| Journal | Journal of Differential Equations |
| DOIs | |
| Publication status | Accepted/In press - Oct 15 2014 |
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Keywords
- Cooperation-diffusion system
- Non-symmetric
- Traveling front
ASJC Scopus subject areas
- Analysis
Cite this
Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in RN. / Taniguchi, Masaharu.
In: Journal of Differential Equations, 15.10.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in RN
AU - Taniguchi, Masaharu
PY - 2014/10/15
Y1 - 2014/10/15
N2 - This paper studies traveling fronts to cooperation-diffusion systems in RN for N≥3. We consider (N-2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in RN-1, and define an equivalence relation between them. We prove that there exists a traveling front associated with a given surface and show its stability. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation.
AB - This paper studies traveling fronts to cooperation-diffusion systems in RN for N≥3. We consider (N-2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in RN-1, and define an equivalence relation between them. We prove that there exists a traveling front associated with a given surface and show its stability. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation.
KW - Cooperation-diffusion system
KW - Non-symmetric
KW - Traveling front
UR - http://www.scopus.com/inward/record.url?scp=84947563298&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84947563298&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2015.11.010
DO - 10.1016/j.jde.2015.11.010
M3 - Article
AN - SCOPUS:84947563298
JO - Journal of Differential Equations
JF - Journal of Differential Equations
SN - 0022-0396
ER -