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“九章讲坛”第295讲 — Bao Quoc Tang 助理教授

日期:2021-01-12点击数:

应兰州大学数学与统计学院孙春友教授和Sergey Zelik教授的邀请,奥地利格拉茨大学 Bao Quoc Tang 助理教授将于2021年1月13日举办线上学术讲座。

题目:Global existence of strong solutions for reaction-diffusion systems with mass dissipation

时间:1月13日下午17:00

腾讯会议ID:564 206 226 (链接:https://meeting.tencent.com/s/L6hGe2jDoL7X)

摘要:We present some recent advances on global existence of strong solutions to reaction-diffusion systems with mass dissipation. These systems typically arise from chemical reactions where spatial diffusion is also present. Under the mass action kinetics, the nonlinearities are usually of polynomial type with arbitrary high orders. This fact makes the global existence of solutions challenging, while the local existence, on the other hand, is classical. It's worth also to mention that the diffculties seem to increase as the spatial dimension n is bigger.

In this talk, we show global existence and uniform-in-time bounds of strong solutions for reaction-diffusion systems with mass dissipation in the following cases: The nonlinearities are at most (slightly super-) quadratic, for all n>=1; The diffusion coefficients are either close to each other, or large enough, for all n>=1; The nonli- nearities satisfy a quadratic intermediate sum condition, for n<=2. This talk is based on joint works with Brian Cupps (Washington), Klemens Fellner (Graz) and Jeff Morgan (Houston).

欢迎大家参加!


报告人简介

Bao Quoc Tang,奥地利格拉茨大学数学系助理教授,主要从事偏微分方程和无穷维动力系统的研究。在Arch. Ration. Mech. Anal.,Ann. Inst. H. Poincaré Anal.,SIAM J. Math. Anal.,Nonlinearity等杂志发表多篇高水平论文。


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