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On the global existence for a regularized model of viscoelastic non-Newtonian fluid

Ondřej Kreml; Milan Pokorný; Pavel Šalom — 2015

Colloquium Mathematicae

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like ${μ (D) \sim | D |}^{p - 2}$ (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.

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