当前位置: 首页 > 科学研究 > 学术交流 >
学术交流

On a compressible Oldroy-B model: relative entropy, weak-strong uniqueness and conditional regularity

2019-01-08 13:07    

报告人:吕勇 【南京大学】

时   间:2019-01-04 15:00-16:00

地   点:卫津路校区第6教学楼111


报告人简介

南京大学教授

报告内容介绍

We consider the compressible Oldroyd-B model derived in \cite{Barrett-Lu-Suli16}, where the existence of global-in-time finite-energy weak solutions was shown in two dimensional setting. Still in the two dimensional setting, we give a (refined) blow-up criterion involving only the upper bound of the fluid density. We then show that, if the initial fluid density and polymer number density admit a positive lower bound, the weak solution coincides with the strong one as long as the latter exists. Moreover, if the fluid density of a weak solution issued from regular initial data admits a finite upper bound, this weak solution is indeed a strong one; this can be seen as a corollary of the refined blow-up criterion and the weak-strong uniqueness.

联系我们

地址:天津市海河教育园区雅观路135号32号教学楼,300350
邮箱:maths@tju.edu.cn
电话:+86 (0)22 27402850
传真:+86 (0)22 27402850

Copyright@2017 天津大学数学学院 版权所有

扫码关注学院最新动态