Title:A liquid crystal model with free boundaries

Speaker:Professor Yannick Sire, Johns Hopkins University (USA)

Beijing Time:16: 30--, September 25 (Wednesday), 2024

Location:6号教学楼二楼学术报告厅

Abstract:

I will introduce a new model of liquid crystal flows coupling the harmonic map heat flow with free boundary with a Navier-Stokes system. I will prove existence in 2D of partially smooth solutions and provide an example of solution blowing-up in finite time. I will also address some open problems.

报告人简介：

Professor Yannick Sire is a Professor and the Director of Graduate Studies in the Department of Mathematics at Johns Hopkins University. His research spans a diverse range of mathematics, including partial differential equations, harmonic and geometric analysis, and dynamical systems. He has made significant advancements in areas such as non-local diffusion processes, the KAM theory, free boundary problems and many others, contributing deeply to both theoretical and applied mathematics. In recognition of his outstanding contributions to analysis and geometry, Professor Sire was awarded the Simons Fellowship for Mathematical Sciences in 2018 and was honored as a Fellow of the American Mathematical Society in 2021. Among his other accolades are the Simons Visiting Professorship and the distinction of JHU Professor of the Year in 2023.