题目：Classical solution for the compressible flow with free surface in three dimensional exterior domain

摘要：In this talk, we discuss about the problem concerning the motion of the barotropic compressible Navier-Stokes equations (CNS) in the smooth exterior domain with some free surface. By applying the method of (full or partial) Lagrangian coordinates, the nonlinear problem reduces to the study of the Lame system with the free boundary conditions. Then the $L_p$-$L_q$ decay estimates are established for such linearized system, by taking advantage of the local energy approach. At last, we apply the $L_p$-$L_q$ decay theory to construct the global solution of (CNS). In particular, we have established the classical Matsumura-Nishida theory for the free boundary value problem via the partial Lagrangian approach. All the results above are based on the joint works with Prof. Yoshihiro Shibata from Waseda University.

个人简介：张鑫，现任职于同济大学数学科学学院助理教授。2017年9月毕业于法国巴黎十二大学数学专业，于2018年7月获得博士学位。2017年10月至2020年6月期间在日本早稻田大学从事博士后的研究工作，主要从事流体力学相关的非线性偏微分方程组的研究。

报告时间：2022年9月15日（周四），上午10:30-11:30

报告地点：腾讯会议

邀请人：陶涛

联系人：陶涛，联系方式：taotao@sdu.edu.cn