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Convex compact sets in [formula omitted] give traveling fronts of cooperation–diffusion systems in [formula omitted].
- Source :
-
Journal of Differential Equations . Mar2016, Vol. 260 Issue 5, p4301-4338. 38p. - Publication Year :
- 2016
-
Abstract
- This paper studies traveling fronts to cooperation–diffusion systems in R N for N ≥ 3 . We consider ( N − 2 ) -dimensional smooth surfaces as boundaries of strictly convex compact sets in R N − 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 260
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 112052313
- Full Text :
- https://doi.org/10.1016/j.jde.2015.11.010