当前位置: 首页  >  学术活动

学术活动

Some mathematical study for a compressible Oldroyd-B model【学术预告】

发布日期:2017年06月20日

  题目:Some mathematical study for a compressible Oldroyd-B model

  报告人:吕勇 (南开大学)

  时间:2017年6月21日(星期三) 下午4:00-5:00

  地点:北京理工大学国际教育交流大厦第三会议室

  报告摘要:

  A compressible Oldroyd-B type model with stress diffusion is derived from a compressible Navier-Stokes-Fokker-Planck system arising in the kinetic theory of dilute polymeric fluids. We show the derivation of this model. We then prove the existence of large data global-in-time weak solutions in two space dimensions. We also give the local-in-time well-posedness result. Again in two dimensional setting, we give a (refined) blow-up criterion involving only the upper bound of the fluid density.  By exploring a relative entropy inequality, we show a weak-strong uniqueness result. As a corollary, a conditional regularity result is given. 

  报告人简介:

  吕勇,南开大学陈省身数学研究所特聘副研究员, 国家“千人计划”青年项目入选者。主要研究领域是偏微分方程及其应用,数学流体力学,数学几何光学。