报告人：徐江（南京航空航天大学）

邀请人：雷远杰

报告时间：2022年9月15日（星期四）10:30-12:00

报告地点：腾讯会议：229 610 557

报告题目：Global existence in critical spaces for non Newtonian compressible viscoelastic flows

报告摘要：We are concerned with the multi-dimensional compressible viscoelastic flows of Oldroyd type. In order to capture the damping effect of the additional deformation tensor, to the best of our knowledge, the “div-curl”conditions play a key role in previous efforts. Our aim is to remove the structural conditions and establish a global existence of strong solutions to compressible viscoelastic flows in critical spaces. In absence of compatible conditions, the new effective flux is introduced, which enables us to capture the dissipation arising from combination of density and deformation tensor. It was shown that the partial dissipation in non-Newtonian compressible fluids was weaker than that of classical Navier-Stokes equations.

报告人简介：徐江，南京航空航天大学数学学院教授（青年破格）、博士生导师、副院长。2007年在浙江大学获博士学位。主要研究一类耗散型偏微分方程的数学理论，其成果出版在《Comm. Math. Phys.》、《Arch. Rational Mech. Anal.》等国际期刊上。主持四项国家自然科学基金项目和参加一项国家自然科学基金重点项目。日本九州大学的访问教授和早稻田大学的公派高级研究学者。