Title:Some mathematical study for a compressible Oldroyd-B model.

Time: Wed, May.31, 2017, AM 09:40-10:20

Speaker: Prof. Yong Lv (Naikai University)

Location:Room 4224, Building No.4, Wushan Campus

Abstract: 

    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.