学术报告(王德华 2026.6.15)

Vortex sheets and boundary layers in elastic fluids

发布人:姚璐
主题
Vortex sheets and boundary layers in elastic fluids
活动时间
-
活动地址
新数学楼209报告厅
主讲人
王德华 教授(University of Pittsburgh)
主持人
钟晓 教授

摘要: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 in the half space under the no-slip boundary condition. Our results show that the deformation tensor can prevent the formation of strong boundary layers.