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报告题目：Some mathematical study for a compressible Oldroyd-B model.
报 告 人：吕勇 教授 （南开大学）
报告时间：2017年5月31日（星期三）上午09:40-10:20
报告地点: 4号楼4224室

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                                                                      数学学院
                                                                   2017年05月28日
 

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.