分析和PDE讨论班——On the motion of a compressible gravity water wave
主 题: 分析和PDE讨论班——On the motion of a compressible gravity water wave
报告人: Chenyun Luo (Johns Hopkins University)
时 间: 2017-01-09 15:00-16:00
地 点: 理科1号楼1303
In this talk, I would like to go over some recent results on a compressible water wave. We generalize the apriori energy estimates for the compressible Euler equations established in Lindblad-Luo to when the fluid domain is unbounded. In addition, we establish weighted elliptic estimates that allow us to find initial data in some weighted Sobolev spaces with weight $w(x)=(1+|x|^2)^{\mu}, \mu \geq 2$, and we show this propagates within short time ; in other words, we are able to prove a weighted energy estimates for compressible water waves. These results serve as good preparation for proving long time existence also for compressible water waves.
