ON THE GLOBAL EXISTENCE FOR A REGULARIZED MODEL OF VISCOELASTIC NON-NEWTONIAN FLUID

Abstrakt

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like, mu(D) similar to vertical bar D vertical bar(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.

Klíčová slova

• viscoelastic fluid
• non-Newtonian fluid
• Lipschitz truncation
• global existence