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数学学院、所2025年系列学术活动(第049场):季善明 教授 华南理工大学

发表于: 2025-06-05   点击: 

报告题目:Removable singularities and unbounded asymptotic profiles of multi-dimensional Burgers equations

报告人:季善明 教授 华南理工大学

报告时间:2025年6月11日 9:00-10:00

报告地点:腾讯会议 ID:225-581-951

或点击链接直接加入会议:

https://meeting.tencent.com/dm/VMcWR9F607Jh

校内联系人:刘长春 liucc@jlu.edu.cn


报告摘要:

This talk is concerned with the unbounded radially symmetric profiles and their asymptotic stability of the multi-dimensional Burgers equations on the whole space. The possible singularities near the origin of the unbounded stationary solutions are investigated and we show that both the convection and the diffusion have singularities in the sense of distributions for three dimensional Burgers equations, such that their singularities cancel with each other in the Burgers equations. We present the decay estimates of perturbations for unbounded solutions around the singular profile with large perturbations.


报告人简介:

季善明教授,华南理工大学教授,TCL青年学者。主要研究方向为非线性偏微分方程。目前已在Math. Ann., SIAM J. Math. Anal., Calc. Var. Partial Differential Equations, J. Nonlinear Sci., Nonlinearity, J. Differential Equations等杂志发表论文三十多篇。主持国家自然科学基金面上项目、广东省自然科学基金面上项目等。