On the global existence for a regularized model of viscoelastic non-Newtonian fluid
Volume 139 / 2015
Colloquium Mathematicum 139 (2015), 149-163
MSC: Primary 35Q35; Secondary 76D03.
DOI: 10.4064/cm139-2-1
Abstract
We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $\mu (\mathbf {D}) \sim | \mathbf {D} |^{p-2}$ ($p>{6/5}$), regularized by a nonlinear stress diffusion. Using the Lipschitz truncation method we prove global existence of a weak solution to the corresponding system of partial differential equations.
