应304am永利集团官网王智诚教授和张亮教授的邀请，东北师范大学304am永利集团官网李敬宇教授将于2023年11月22日-24日访问兰州大学，期间于11月23日举办线上专题学术报告。

报告题目：Existence Stabilityofnon-constantsteady statesto a multidimensional chemotaxis-consumption model

时 间：11月23日上午10:30

地 点：腾讯会议438 333 324

报告摘要：We study the dynamical stability of nontrivial steady states to a multidimensional parabolic-parabolic chemotaxis-consumption model in a bounded domain, where the physical zero-flux boundary condition for the bacteria and the nonhomogeneous Dirichlet boundary condition for the oxygen are prescribed. We first consider the model with linear sensitive function. Based on the spectral analysis, we show that all eigenvalues of the linearized operator around the steady state have negative real part under some assumptions on the parameters. This result of eigenvalue analysis implies the local asymptotic stability of the nontrivial steady states.Thenwe consider the model with logarithmic sensitive function. Base on the energy method, we show that in the radial setting the nontrivial steady states are asymptotically stable.

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报告人简介

李敬宇，东北师范大学教授，主要关注生物趋化方程及流体力学方程的数学理论研究。在Proc. London Math. Soc., SIAM J. Math. Anal., Math. Models Methods Appl. Sci., J. Differential Equations等期刊发表多篇论文。

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