Concentration Phenomena of a Semilinear Elliptic Equation with Large Advection in an Ecological Model

Details Concentration Phenomena of a Semilinear Elliptic Equation with Large Advection in an Ecological Model Concentration Phenomena of a Semilinear Elliptic Equation with Large Advection in an Ecological Model

2010-03-29

arxiv.org/abs/1003.5632v2

Mathematics

Analysis of PDEs

Scientific paper

We consider a reaction-diffusion-advection equation arising from a biological model of migrating species. The qualitative properties of the globally attracting solution are studied and in some cases the limiting profile is determined. In particular, a conjecture of Cantrell, Cosner and Lou on concentration phenomena is resolved under mild conditions. Applications to a related parabolic competition system is also discussed.

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