A fisher/KPP-type equation with density-dependent diffusion and convection: Travelling-wave solutions

Gilding, B H; Kersner, R [Kersner, Róbert (Nemlineáris analízis), szerző]

Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)
  • SJR Scopus - Modeling and Simulation: Q1
    This paper concerns processes described by a nonlinear partial differential equation that is an extension of the Fisher and KPP equations including density-dependent diffusion and nonlinear convection. The set of wave speeds forwhich the equation admits a wavefront connecting its stable and unstable equilibrium states is characterized. There is a minimal wave speed. For this wave speed there is a unique wavefront which can be found explicitly. It displays a sharp propagation front. For all greater wave speeds there is a unique wavefront which does not possess this property. For such waves, the asymptotic behaviour as the equilibrium states are approached is determined. © 2005 IOP Publishing Ltd.
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    2021-10-24 05:13