由南方科技大学、深圳国家应用数学中心、杰曼诺夫数学中心、中国工业与应用数学学会主办的偏微分方程系列讲座将于2022年7月11日-21日在ZOOM平台举行，欢迎感兴趣的专家学者及数学爱好者们参加！

报告人：Helena Judith Nussenzveig Lopes（里约热内卢联邦大学）

题  目：Mathematical analysis of the vortex sheet problem

时  间：

讲座1：7月11日，6pm-7:30pm

讲座2：7月14日，6pm-7:30pm

讲座3：7月18日，6pm-7:30pm

讲座4：7月21日，6pm-7:30pm

地  点：Zoom    会议号：968 8551 9942（密码：888888）

摘  要：

Vortex sheets are flows for which there is an interface across which the velocity has a tangential discontinuity, while the normal component is continuous. Such structures are ubiquitous in incompressible fluid dynamics and their evolution still contains unanswered questions. The evolution of a vortex sheet is modeled by the incompressible Euler equations with vorticity given by a Dirac delta supported on a curve or surface. Alternatively, a Lagrangian or explicit description is given by the Birkhoff-Rott equations.

I will discuss the well-posedness of these models, focusing mainly on the Euler equations, the ensuing mathematical analysis and some applications, and, time permitting, the wild solutions of the vortex sheet problem.

报告人简介：

Professor Helena Judith Nussenzveig Lopes is an internationally recognized mathematician with numerous notable accomplishments. She is a leading expert on the analysis of PDEs arising in fluid dynamics. Professor Lopes is the recipient of several honors, including an invitation to speak at the 2018 International Congress of Mathematicians (ICM),membership to the Brazilian Academy of Sciences, fellowship to the American Mathematical Society (AMS Fellow),and fellowship to the Society for Industrial and Applied Mathematics (SIAM Fellow).She is currently a full professor at the Federal University of Rio de Janeiro (UFRJ).

海  报：