中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

报告人： 缑天祥 副教授（西安交通大学）

题  目：Concentration Phenomenon of Semiclassical States to Nonlinear Reaction-Diffusion Systems

时  间：2024.10.22（星期二）10：00-11：00

地  点：N818

摘  要：In this talk, we are concerned with concentration phenomenon of semiclassical states to nonlinear reaction-diffusion systems. The systems generally model the time variation of chemical concentrations due to reaction and diffusion, which arise in a wide variety of fields such as theoretical physics, chemistry and biology. We prove that semiclassical states to nonlinear reaction-diffusion systems concentrate around the local minimum points of chemical potential distribution under mild assumptions. The approach is variational, which is mainly based upon a linking-type argument, iterative techniques and interior estimates for nonlinear parabolic equations.