应用数学系学术报告

--- 分析与偏微分方程讨论班(2023秋季第34讲)

On principal eigenvalues for some elliptic operators with large drift

刘爽 (北京理工大学)

时间：2024年1月9日（周二）下午16:00-17:00

地点： 沙河主楼E606

摘要:  In this talk, we will discuss the principal eigenvalue of some linear elliptic operators with drift. We provide a refined description of the asymptotic behavior for the principal eigenvalue as the drift rate approaches infinity. Under some non-degeneracy assumptions, we prove that these asymptotic behaviors are completely determined by some connected components in the omega-limit set of the system of ordinary differential equations associated with the drift term, which includes stable fixed points, stable limit cycles, hyperbolic saddles connecting homoclinic orbits, and families of closed orbits.

报告人简介: 刘爽，北京理工大学预聘助理教授，博士毕业于中国人民大学，师从楼元教授。研究领域为偏微分方程与生物数学，关注椭圆和抛物算子的特征值理论和多物种的传播问题，在TAMS, JFA, SIMA等杂志发表论文多篇。曾获北京市优秀博士学位论文奖，入选博士后创新人才支持计划，主持国自然青年科学基金项目。

邀请人：郑孝信

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