Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	王德华教授, 美国匹兹堡大学数学系
Inviter:
Title:	Viscoelastic effects on vortex sheets and boundary layers
Language:	Chinese
Time & Venue:	2023.05.17 09:00-10:00 南楼N613室
Abstract:	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 fluid flows. 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 plane under the no-slip boundary condition. Our results show that the deformation tensor can prevent the formation of strong boundary layers.