A result on parabolic gradient regularity in Orlicz spaces and application to absorption-induced blow-up prevention in a Keller-Segel type cross-diffusion system

活動時間:2023-12-02 16:30-17:30

活動地點:2号學院樓247

主講人:Michael Winkler

主講人中文簡介:

Michael Winkler,Paderborn 大學教授,主要研究興趣為非線性偏微分方程,已在《Comm Math Phy》、《Arch Rational Mech Anal》、《J European Math Soc》、《Trans Amer Math Society》、《SIAM J Math Anal》、《J Differential Eq》、《Math Models Methods Appl Sci》、《Math. Ann》等一流數學期刊上發表學術論文近100篇,其中近30篇論文入選ESI高被引、熱點論文;目前擔任《Mathematical Models and Methods in Applied Sciences》(中科院一區)、《Nonlinear Analysis:Real World Applications》(中科院一區)等國際一流SCI數學期刊的編委。

活動内容摘要:

By means of a variational approach, time-independent a priori estimates for gradients of solutions to linear parabolic equations in  some Orlicz spaces near $L^p$ is derived. These are subsequently used to rule out blow-up in a Keller-Segel type parabolic system involving certain diffusion degeneracies of arbitrary strength.

主持人:曹欣茹


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