一、题目

The decay property of the multidimensional compressible flow with free surface

二、主讲人

Xin Zhang

三、摘要

In this talk, we discuss about the problem concerning the motion of the barotropic compressible Navier-Stokes equations in the smooth exterior domain with some free surface. By applying the method of the partial Lagrangian coordinates, the nonlinear problem reduces to the study of the Lame system with the free boundary condition. Then the classical theory of the Lp-Lq decay estimate is established for such linearized system, by taking advantage of the local energy approach. This is a joint work with Yoshihiro Shibata from Waseda University.

四、主讲人简介

张鑫在山东大学获学士学位，随后在中国科学院大学学习，并赴法留学，在巴黎十二大学获博士学位，之后在日本早稻田大学进行博士后研究。现任职于同济大学（助理教授），主要从事流体相关的非线性偏微分方程的研究。

五、邀请人

胡锡俊 陶涛

六、时间

3月31日（周三）14:30-15:30

七、地点

中心校区知新楼B座1032报告厅

八、主办方

山东大学数学学院