Traveling front solutions in nonlinear diffusion degenerate Fisher-KPP and Nagumo equations via the Conley index
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Traveling front, degenerate nonlinear diffusion, Conley index, connected simple systemsAbstrakt
Existence of one dimensional traveling wave solutions $u( x,t)$ $:=\phi ( x-ct) $ at the stationary equilibria, for the nonlinear degenerate reaction-diffusion equation $u_{t}=[K( u)u_{x}]_{x}+F( u) $ is studied, where $K$ is the density coefficient and $F$ is the reactive part. We use the Conley index theory to show that there is a traveling front solutions connecting the critical points of the reaction-diffusion equations. We consider the nonlinear degenerate generalized Fisher-KPP and Nagumo equations.Pobrania
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2010-04-23
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ADNANI, Fatiha El & ALAOUI, Hamad Talibi. Traveling front solutions in nonlinear diffusion degenerate Fisher-KPP and Nagumo equations via the Conley index. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2010, T. 35, nr 1, s. 43–60. [udostępniono 22.7.2024].
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