應(yīng)yl7703永利官網(wǎng)王智誠教授和張亮教授的邀請，東北師范大學yl7703永利官網(wǎng)李敬宇教授將于2023年11月22日-24日訪問蘭州大學，期間于11月23日舉辦線上專題學術(shù)報告。

報告題目：Existence Stabilityofnon-constantsteady statesto a multidimensional chemotaxis-consumption model

時 間：11月23日上午10:30

地 點：騰訊會議438 333 324

報告摘要：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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報告人簡介

李敬宇，東北師范大學教授，主要關(guān)注生物趨化方程及流體力學方程的數(shù)學理論研究。在Proc. London Math. Soc., SIAM J. Math. Anal., Math. Models Methods Appl. Sci., J. Differential Equations等期刊發(fā)表多篇論文。

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萃英學院

2023年11月21日