Local well-posedness for the motion of a compressible self-gravitating liquid with free surface boundary
报告题目(Title)：Local well-posedness for the motion of a compressible self-gravitating liquid with free surface boundary
报告人(Speaker)：罗辰昀（Vanderbilt University，USA）
地点(Place)：后主楼1223
时间(Time)：2019年5月29日 下午3:00-4:00
邀请人(Inviter)：徐桂香
报告摘要
We establish the local well-posedness for the free boundary problem for the compressible Euler equations describing the motion of liquid under the influence of Newtonian self-gravity. We do this by solving a tangentially-smoothed version of Euler’s equations in Lagrangian coordinates which satisfies uniform energy estimates as the smoothing parameter goes to zero. The main technical tools are delicate energy estimates and optimal elliptic estimates in terms of boundary regularity, for the Dirichlet problem and Green’s function.
主讲人简介
Chenyun Luo is an Assistant Professor (NTT) at Vanderbilt University. He received his Ph.D. in 2017 from Johns Hopkins University supervised by Professor Hans Lindblad. Chenyun's research lies in the realm of PDE; In particular, he studies free-boundary problem arises from fluid dynamics.
