| Abstract: |
| In this talk, we mainly discuss the existence of rotating spirals for competition-diffusion systems and related bifurcation results. For the Neumann problem, we establish the existence of unstable rotating spirals by applying the multi-parameter bifurcation theorem. In addition, for the non-homogeneous Dirichlet problem, the Rothe fixed point theorem is employed to prove the existence of rotating spirals. And we will deliver some bifurcation analysis for the stationary problem. This talk is based on joint works with Prof. Susanna Terracini. |
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