应兰州大学数学与统计学院李万同教授和杨飞英副教授邀请,长安大学包雄雄教授将于2026年6月26日作学术报告,诚邀全校师生参加!
题目:Propagation dynamics of time dependent reaction-diffusion equations under climate change in an infinite cylinder
时间:6月26日(周五)下午4:00
地点:理工楼601
摘要:In thistalk, we consider a reaction-diffusion equation that models the time-almost periodic response to climate change within a straight, infinite cylindrical domain. The shifting edge of the habitat is characterized by a time-almost periodic function, reflecting the varying pace of environmental changes. Note that the principal spectral theory is an important role to study the dynamics of reaction-diffusion equations in time heterogeneous environment. Initially, for time-almost periodic parabolic equations in finite cylindrical domains, we develop the principal spectral theory of such equations with mixed Dirichlet-Neumann boundary conditions. Subsequently, we demonstrate that the approximate principal Lyapunov exponent serves as a definitive threshold for species persistence versus extinction. Additionally, we analyze how fluctuations in the shifting speed affect the approximate top Lyapunov exponent.
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报告人简介
包雄雄现为长安大学理学院数学与应用数学系教授,博士生导师,从事微分方程、动力系统及其应用研究,主要研究兴趣为非齐次环境下反应扩散方程、非局部扩散方程及系统的行波解与传播速度,部分成果发表在JDE、JNS、JDDE,PAMS等学术期刊。曾访问美国奥本大学和加拿大纽芬兰纪念大学。目前主持国家自然基金面上项目1项,陕西省数理基础项目1项。获得甘肃省自然科学奖二等奖一项(第三完成人),主持完成陕西省高等学校科学技术研究优秀成果二等奖。
甘肃省计算数学基础学科研究中心
数学与统计学院
萃英学院
2026年6月25日