Title:Principal eigenvalue of elliptic operator with large advection and its applications
Speaker: Professor Lou Yun
Department of Mathematics
Ohio State University
Columbus, USA
Time: June 15, 16:00-17:00
Location: Zhi Yuanlou Room 106.
Abstract: We study the asymptotic behavior, as the coefficient of the advection term
approaches infinity, of the principal eigenvalue of an elliptic operator. As an application,
a Lotka-Volterra reaction-diffusion-advection model for two competing species in a heterogeneous environment is investigated.
The two species are assumed to be identical except their dispersal strategies: one disperses
by random diffusion only, and the other by both random diffusion and advection along
environmental gradient. When the advection is strong relative to random dispersal, both
species can coexist. In some situations, it is further shown that the density of the species
with large advection in the direction of resources is concentrated at the spatial location with
maximum resources. This is based on joint work with Xinfu Chen.
English
官方微信