Existence of reaction‐diffusion‐convection waves in unbounded strips | Zendy

Michaël Belk | Zendy; Bogdan Kaźmierczak | Zendy; Vitaly Volpert | Zendy

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Existence of reaction‐diffusion‐convection waves in unbounded strips

Author(s) -

Michaël Belk,

Bogdan Kaźmierczak,

Vitaly Volpert

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.169

Subject(s) - mathematics , convection , mathematical analysis , strips , bistability , reaction–diffusion system , diffusion , function (biology) , mechanics , physics , thermodynamics , algorithm , quantum mechanics , evolutionary biology , biology

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

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