應(yīng)yl7703永利官網(wǎng)孫春友教授和Sergey Zelik教授的邀請(qǐng)，奧地利格拉茨大學(xué) Bao Quoc Tang 助理教授將于2021年1月13日舉辦線上學(xué)術(shù)講座。

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

時(shí)間：1月13日下午17:00

騰訊會(huì)議ID：564 206 226 (鏈接：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).

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報(bào)告人簡(jiǎn)介

Bao Quoc Tang，奧地利格拉茨大學(xué)數(shù)學(xué)系助理教授，主要從事偏微分方程和無窮維動(dòng)力系統(tǒng)的研究。在Arch. Ration. Mech. Anal.，Ann. Inst. H. Poincaré Anal.，SIAM J. Math. Anal.，Nonlinearity等雜志發(fā)表多篇高水平論文。

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2021年1月12日