学术报告(王德华 12.6)

Elastic effects on vortex sheets and vanishing viscosity

发布人:肖怡霏 发布日期:2021-11-25
主题
Elastic effects on vortex sheets and vanishing viscosity
活动时间
-
活动地址
腾讯会议 会议ID:566 747 904
主讲人
王德华 教授 美国匹兹堡大学
主持人
秦绪龙

Elasticity is important in continuum mechanics with a wide range of applications and is challenging in analysis. In this talk we shall first review some basic mathematical results and then discuss some special elastic effects in elastic fluids. The first elastic effect is the stabilizing effect of elasticity on the vortex sheets in compressible elastic flows. Some recent results on linear and nonlinear stability of compressible vortex sheets will be presented. The second effect is on the vanishing viscosity process of compressible viscoelastic flows on the half plane under the no-slip boundary condition. It is well-known that for the corresponding inviscid limit of the compressible Navier-Stokes equations with the no-slip boundary condition, one does not expect the uniform energy estimates of solutions due to the appearance of strong boundary layers. Our results show that the deformation tensor can prevent the formation of strong boundary layers. The talk is based on the recent results joint with several collaborators.