Existence of reaction-diffusion-convection waves in unbounded strips-Reference-Cited by-同舟云学术

Existence of reaction-diffusion-convection waves in unbounded strips

Published:2005 Issue:2 Volume:2005 Page:169-193
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Belk M.¹,Kazmierczak B.²,Volpert V.¹

Affiliation:

1. Laboratoire de Mathématiques Appliquées, UMR 5585 CNRS, Université Lyon 1, Villeurbanne 69622, France

2. Institute of Fundamental Technological Research, Świetokrzyska 21, Warsaw 00-049, Poland

Abstract

Existence of reaction-diffusion-convection waves in unbounded strips is proved in the case of small Rayleigh numbers. In the bistable case the wave is unique, in the monostable case they exist for all speeds greater than the minimal one. The proof uses the implicit function theorem. Its application is based on the Fredholm property, index, and solvability conditions for elliptic problems in unbounded domains.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2005/545476.pdf

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