| Abstract: |
| In this talk, we study a Lotka--Volterra competition system with diffusion. It is well known that this system exhibits segregation patterns when the parameters lie in the bistable regime and the domain is nonconvex, for example, dumbbell-shaped. However, it remains unclear how such segregation patterns emerge as a two-dimensional domain deforms from convex to nonconvex. We reveal the structure of stationary solutions in the bistable regime with the aid of numerical computations. |
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