On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions - Mathematics > Analysis of PDEsReportar como inadecuado




On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions - Mathematics > Analysis of PDEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider a two-component competition-diffusion system with equal diffusioncoefficients and inhomogeneous Dirichlet boundary conditions. When theinterspecific competition parameter tends to infinity, the system solutionconverges to that of a freeboundary problem. If all stationary solutions ofthis limit problem are non-degenerate and if a certain linear combination ofthe boundary data does not identically vanish, then for sufficiently largeinterspecific competition, all non-negative solutions of thecompetition-diffusion system converge to stationary states as time tends toinfinity. Such dynamics are much simpler than those found for the correspondingsystem with either homogeneous Neumann or homogeneous Dirichlet boundaryconditions.



Autor: E.C.M. Crooks, E.N. Dancer, D. Hilhorst

Fuente: https://arxiv.org/







Documentos relacionados