Concentration phenomena of a semilinear elliptic equation with large advection in an ecological model |
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Authors: | King-Yeung Lam |
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Affiliation: | School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455, USA |
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Abstract: | 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 are also discussed. |
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Keywords: | primary, 35B30 secondary, 35J20, 92D25 |
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