應學院邀請,長安大學包雄雄教授将為我院師生作線上學術報告。
報告題目:Generalized Transition Waves for Time-Dependent Reaction-Diffusion Cooperative System
報告摘要:In this talk, we consider the existence and stability of generalized transition waves of time-dependent reaction-diffusion cooperative system. In this talk, using the principal Lyapunov exponent and principal Floquent bundle theory of linear cooperative systems, we prove the existence of generalized transition waves in any given direction with speed greater than the spreading speed by constructing appropriate subsolutions and supersolutions. When the initial value is uniformly bounded with respect to a weighted maximum norm, we further show that all solutions converge to the generalized transition wave solutions exponentially in time.
報告時間:2021年12月9日上午10:00
報告地點:騰訊會議(會議号:975-750-057)
屆時歡迎廣大師生參與交流!
【報告人簡介】
包雄雄,長安大學理學院數學與應用數學系教授。博士畢業于蘭州大學77779193永利,導師為李萬同教授。從事微分方程、動力系統及其應用研究,主要研究興趣為非齊次環境下反應擴散方程、非局部擴散方程及系統的行波解和非平面行波解。目前主持國家自然科學基金青年1項與陝西省自然科學基金2項.獲得甘肅省自然科學獎二等獎一項。 以第一作者在JDE,JDDE, JMAA, PAMS,CPAA,AML, ZAMP, DCDS-B等學術期刊上發表論文多篇。