应我校数学科学学院邀请，美国匹兹堡大学的Dehua Wang教授将于2024年6月20日为我校师生讲学。欢迎全校相关教师、博士生、硕士生参加!

报告题目：Elastic effects on vortex sheets and vanishing viscosity

报告人：Dehua Wang教授

报告人单位：美国匹兹堡大学

报告时间：2024年6月20日（周四）15:30

报告地点：数学科学学院7楼报告厅

主办单位：重点建设与发展工作处、数学科学学院

Dehua Wang教授简介：美国匹兹堡大学数学系终身教授。主要从事流体力学中的非线性问题, 在守恒律和激波, 磁流体, 粘弹性和液晶等方面的研究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研究。已在《Advances in Mathematics》,《MathematischeAnnalen》，《Communications in Mathematical Physics》,《Archive for Rational Mechanics and Analysis》等国际著名SCI数学期刊上发表学术论文近百篇，引用次数2000余次。目前担任《SIAM Journal on Mathematical Analysis》,《Journal of Differential Equations》等国际知名数学杂志的编委。

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 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. The talk is based on the recent joint works with several collaborators.

欢迎各位老师同学届时参加！