應蘭州大學數學與統計學院孫春友教授和Sergey Zelik教授的邀請，奧地利格拉茨大學 Bao Quoc Tang 助理教授將於2021年1月13日舉辦線上學術講座。
題目：Global existence of strong solutions for reaction-diffusion systems with mass dissipation
騰訊會議ID：564 206 226 (鏈接：//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).
Bao Quoc Tang，奧地利格拉茨大學數學系助理教授，主要從事偏微分方程和無窮維動力系統的研究。在Arch. Ration. Mech. Anal.，Ann. Inst. H. Poincaré Anal.，SIAM J. Math. Anal.，Nonlinearity等雜誌發表多篇高水平論文。