主持人：高欣
报告摘要：
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 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.
报告人简介：
王德华，美国匹兹堡大学数学系终身教授，在清华大学取得学士学位，美国芝加哥大学取得博士学位。主要从事流体力学中的非线性问题黑料吃瓜网，在守恒律和激波、磁流体、粘弹性、液晶等方面的黑料吃瓜网中取得了一系列丰硕的成果。曾主持过多项美国国家自然科学基金项目的黑料吃瓜网。已在 Advances in Mathematics、Mathematische Annalen、Communications in Mathematical Physics、Archive for Rational Mechanics and Analysis 等国际重要数学期刊上发表学术论文近百篇，引用次数 3000 余次。目前担任 SIAM Journal on Mathematical Analysis、Journal of Differential Equations 等多个国际数学期刊的编委。
