Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension

：顾旭旻副教授
：2019-09-23 15:00
：实验楼105

      Speaker：Dr.  Xumin Gu

                       Shanghai University of Finance Economics

Title:  Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension

       Time：23  Sept 2019, 15:00

Location：实验楼105

Abstract: As for the incompressible viscoelasticity, a coupling system of the Navier-Stokes equations of the fluid motion with a transport one for the deformation tensor, the well-posedness theory of its free boundary problem has been established under a natural force balance law on the free boundary. In this talk, we discuss the corresponding elastic case with surface tension on a short time interval via the vanishing viscosity method. An interesting fact is that our solutions are in standard Sobolev spaces, but not the co-normal ones, when the vanishing viscosity limit is taken.

Speaker  Introduction：顾旭旻，博士，上海财经大学副教授。复旦大学本科、博士，美国布朗大学联合培养博士，香港中文大学博士后。主持国家自然科学基金项目1项，主要研究方向为流体力学中的偏微分方程；论文发表在J. Math. Pures Appl., J. Funct. Anal, J. Differ. Equations等。

 

 

        联系人：王焰金教授