报告题目：Well-posedness of the Free Boundary Problem for the Euler-Fourier System

报告人：王焰金（厦门大学）

报告时间：2024年4月26日13:30-15:00

报告地点：数统学院A405

邀请单位：福州大学数学与统计学院

报告内容简介：

We consider the free boundary problem for the Euler-Fourier system that describes the motion of compressible, inviscid and heat-conducting fluids. The effect of surface tension is neglected and there is no heat flux across the free surface. We establish the local well-posedness of the problem in Lagrangian coordinates under the Taylor sign condition. The temperature equation is regularized by a pseudo-parabolic equation so as to overcome the strong coupling effect between the Euler part and the Fourier part when constructing solutions. This is a joint work with Xumin Gu (Shanghai University of Finance and Economics).

报告人简介：

王焰金，博士，厦门大学数学科学学院教授、博士生导师。2005年本科和2011年博士毕业于厦门大学，2009.9-2010.12美国布朗大学联合培养博士，香港中文大学博士后。主要从事流体力学方程的数学理论研究，论文发表在CPAM、CMP、ARMA、Adv. Math.、JMPA、CPDE等。曾获2013年度全国优秀博士学位论文奖和入选2018年度国家高层次青年人才。