Concentration phenomena of a semilinear elliptic equation with large advection in an ecological model

被引：56
|
作者：
Lam, King-Yeung [1 ]
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 01期
关键词：
Concentration phenomenon; Large advection; Limiting profile; Mathematical ecology; EVOLUTION; ENVIRONMENTS; DISPERSAL; MOVEMENT;
D O I：
10.1016/j.jde.2010.08.028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 (C) 2010 Elsevier Inc All rights reserved
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页码：161 / 181
页数：21
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