主講人：吳事良 西安電子科技大學(xué)教授

時(shí)間：2022年12月2日9：00

地點(diǎn)：騰訊會(huì)議 538 474 037

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)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授，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)。現(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。完成國(guó)家自然科學(xué)基金三項(xiàng)，在研國(guó)家自然科學(xué)基金面上項(xiàng)目和陜西省杰出青年科學(xué)基金各一項(xiàng)；獲陜西省科學(xué)技術(shù)獎(jiǎng)一等獎(jiǎng)兩項(xiàng)(分別為第二、第六完成人)、二等獎(jiǎng)一項(xiàng)(第一完成人)，及第十一屆陜西青年科技獎(jiǎng)；入選首屆年陜西省高等學(xué)校杰出青年人才計(jì)劃。部分成果發(fā)表在J. Math Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math Anal.、J. Differential equations、Proc. Amer. Math. Soc.、Nonlinearity、J. Dynam. Differential Equations、J. Nonlinear Science等期刊。

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.