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【系综合学术报告】2023年第12期 || Elastic effects on vortex sheets and boundary layers


报告题目:Elastic effects on vortex sheets and boundary layer

报告人:王德华 教授(匹兹堡大学)

时间: 2023年5月18日(周四)上午10:00-11:00

地点: 理科楼 A404

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 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.

报告人简介:Dehua Wang is a professor of mathematics at the University of Pittsburgh. He received his B.S. degree from Tsinghua University and Ph.D. degree from the University of Chicago. His research field is partial differential equations and applied mathematics, in particular, nonlinear problems in hyperbolic conservation laws, fluid mechanics, and applications.

邀请人:邹文明