| Abstract: |
| We consider a cylinder whose section is an arbitrary (regular) domain of R^N. We study a reaction-diffusion system consisting of two coupled equations, one posed in the interior of the cylinder and one on the boundary. Reaction and diffusion heterogeneities are present.
We show how to study the asymptotic speed of propagation of the solutions by means of an eigenvalue problem. Then, we analyze the dependence of the speed of propagation on the parameters of the problem and on the shape of the domain.
This is a joint work with Beniamin Bogosel (CMAP, Ecole Polytechnique, France) and Thomas Giletti (University of Lorraine, France). |
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