Modern Mathematics Lecture Series
Speaker
Tao Luo
City University of Hong Kong
Time
Fri., 16:00-17:00, Dec. 19, 2025
Venue
C548, Shuangqing Complex Building A
Title
On vacuum boundary with physical singularity
for compressible Euler equations--old and new
Abstract
In this talk, I will first review the background and challenge and known results in the study of physical vacuum of compressible inviscid fluids. Then I will discuss the problem of global in time behavior for the system with damping including the old joint work with Prof Huihui Zeng and some recent developments. Lastly, I will present the recent joint work with Dr. Sicheng Liu on the local well-posedness in low-regularity weighted spaces in Hadamard sense for full compressible Euler equations in multi-dimensions.
About the Speaker
Professor Luo received his PhD from Chinese Academy of Sciences in 1995. He held a professorship at Georgetown University before joining the City University of Hong Kong. His research interest is mainly in nonlinear partial differential equations and analysis, including: Mathematical Analysis of PDEs of Fluid Dynamics, Fluids Free Boundary Problems, Hyperbolic Conservation Laws, Calculus of Variations and etc.
