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Some recent results on a compressible water wave

题目:Some recent results on a compressible water wave

报告人:Dr. Chenyun Luo (Johns Hopkins University)

摘要: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 weighted energy estimates for compressible water waves. These results serve as good preparation for proving long time existence also for compressible water waves.

时间:2017年1月10日(周二)下午4:00-5:00

地点:首师大校本部新教二楼509教室

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