中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Dr. Lv Yong（Institute of Mathematics, Czech Academy of Sciences, Czech ）
题 目：Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
时 间：2016.06.22（星期三），16:00-17:00
地 点：晨兴数学中心410室
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, where polymer chains immersed in a barotropic, compressible, isothermal, viscous Newtonian solvent, are idealized as pairs of massless beads connected with Hookean springs.
We develop a priori bounds for the model, including a logarithmic bound, which guarantees the nonnegativity of the elastic extra stress tensor, and we prove the existence of large data global-in-time finite-energy weak solutions in two space dimensions.
