主講人：吳事良  西安電子科大教授

時(shí)間：2021年12月8日19：30

地點(diǎn)：騰訊會(huì)議 456 488 324

舉辦單位：數(shù)理學(xué)院

主講人介紹：吳事良，西安電子科技大學(xué)教授，博士生導(dǎo)師。2013至2014年于美國(guó)邁阿密大學(xué)數(shù)學(xué)系公派訪(fǎng)問(wèn)?，F(xiàn)為中國(guó)數(shù)學(xué)會(huì)理事和陜西省數(shù)學(xué)會(huì)常務(wù)理事。主要研究方向?yàn)槲⒎址匠?、?dòng)力系統(tǒng)及應(yīng)用。主持國(guó)家自然科學(xué)基金4項(xiàng)以及陜西省杰出青年基金，獲陜西省科學(xué)技術(shù)獎(jiǎng)一等獎(jiǎng)兩項(xiàng)、陜西省優(yōu)秀博士學(xué)位論文獎(jiǎng)以及第十一屆陜西青年科技獎(jiǎng)。在相關(guān)領(lǐng)域的國(guó)內(nèi)外期刊，如Trans.  Amer. Math. Soc.、SIAM J. Math. Anal.、J. Differential equations、Proc. Amer. Math.  Soc.、Nonlinearity、J. Dynam. Differential Equations、J. Nonlinear Science、Proc.  Royal Soc. Edinburgh (A)與數(shù)學(xué)年刊等發(fā)表論文30余篇。

內(nèi)容介紹：This talk is concerned with propagation dynamics for time-periodic partially  degenerate reaction-diffusion systems with monostable nonlinearity. In the  cooperative case, we prove the existence and exponential stability of the  periodic traveling fronts. In the non-cooperative case, we establish the  existence of the minimal wave speed of periodic traveling waves and show that it  coincides with the spreading speed. More specifically, when the system is  non-degenerate, the existence of the periodic traveling waves is proved by using  the Schauder's fixed point theorem and regularity of analytic semigroup; while  in the partially degenerate case, due to the lack of compactness and standard  parabolic estimates, the existence result is obtained by appealing to the  asymptotic fixed point theorem with the help of some properties of the  Kuratowski measure of noncompactness. This is a joint work with Mingdi Huang and  Xiao-Qiang Zhao.