| Abstract: |
| We discuss a free boundary problem for a reaction-diffusion equation with Dirichlet boundary conditions on both fixed and free boundaries. This model, proposed by Du-Lin (2010) under the Neumann boundary condition on the fixed one, models the spreading of biological (new or invasive) species.
It is known that, when the free boundary goes to infinity as time tends to infinity (i.e. spreading occurs), the solution converges to a stationary solution in any compact set. In this talk we will consider other properties of spreading solutions such as convergence near the free boundary, spreading speeds and profiles of the solutions. This is a joint work with Professor Yoshio Yamada (Waseda University). |
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