|
|
Prof. Danielle Hilhorst
| Speaker: |
Prof. Danielle Hilhorst (Universitè Paris-Sud,
Orsay)
|
| Date: |
Wedneday February 22, 2006 |
| Title: |
Fast reaction
limit and long time behavior for a competition-diffusion system
|
Abstract
|
We consider a two-component competition-diffusion
system in the case of equal diffusion coefficients and inhomogeneous
Dirichlet boundary conditions. As the reaction coefficient tends to
infinity, the solution converges to that of a Stefan problem with zero
latent heat which possesses a Lyapunov functional. However this is not
the case for the original competition-diffusion system. Our main result
is the following: suppose that all the stationary solutions are
nondegenerate. Then if the reaction coefficient is large enough the
solutions of the competition-diffusion system converge to a stationary
solution.
This is joint work with E.C.M. Crooks and E.N. Dancer.
|
|
