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arXiv · 1407.3090

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

Ondřej Kreml·Milan Pokorný·Pavel Šalom
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Abstract

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $\mu(\mathbf{D}) \sim |\mathbf{D}|^{p-2}$ ($p>\frac 65$) regularized by a nonlinear stress diffusion. Using the Lipschitz truncation method we are able to prove global existence of weak solution to the corresponding system of partial differential equations.

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Ondřej Kreml, Milan Pokorný, Pavel Šalom. 2014-07-11. On the global existence for a regularized model of viscoelastic non-Newtonian fluid. https://arxiv.org/abs/1407.3090

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