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A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities
- Publication Year :
- 2017
-
Abstract
- In this paper we consider a semilinear parabolic equation in an infinite cylinder. The spatially varying nonlinearity is such that it connects two (spatially independent) bistable nonlinearities in a compact set in space. We prove that, given such a setting, a traveling wave obeying the equation with the one bistable nonlinearity and starting at the respective side of the cylinder, will converge to a traveling wave solution prescribed by the nonlinearity on the other side.
- Subjects :
- Mathematics - Analysis of PDEs
35K57, 35K15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1706.04092
- Document Type :
- Working Paper