学术报告（吴雅萍 11.24）

摘要

I shall talk about our recent work on the existence, detailed asymptotic structure and spectral instability of a type of blowing-up positive steady states for a shadow system of the SKT competition model when one of the cross diffusion parameter tends to infinity and the another cross diffusion parameter is bounded, the strategy of the proof is based on appropriate transformation, application of Lyapunov-Schmidt reduction and detailed spectral analysis near the blowing-up point. By applying perturbation argument, we also obtain the existence and instability of the large nontrivial steady states for the original SKT model when one of cross diffusion parameter is large enough. The talk is based on the joint work with Kousuke Kuto.