主题: Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong......主讲人: Professor Michael Winkler地点: 松江校区2号学院楼235室时间: 2016-10-11 15:40:00组织单位: 理学院
主讲人简介：Professor Michael Winkler, from University of Paderborn (Germany), is an expert in nonlinearparabolic Partial Differential Equations, and he has published 112 researchpapers with over 1800 citations.
内容摘要：A class of chemotaxis-Stokes systems with nonlinear self-diffusion in the form of $n^{m-1}$ is considered in bounded convex three-dimensional domains. The goal of the presentation is to describe an analytical approach which consists in a combination of energy-based arguments and maximal Sobolev regularity theory, and which allows for the construction of global bounded weak solutions to an associated initial-boundary value problem under the assumption that $$m>\frac{9}{8} .$$(\star). Moreover, the obtained solutions are shown to approach the spatially homogeneous steady state $(\frac{1}{|\Omega|} \io n_0,0,0)$ in the large time limit. This extends previous results which either relied on different and apparently less significant energy-type structures, or on completely alternative approaches, and thereby exclusively achieved comparable results under hypotheses stronger than (\star).讲座语言：English