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

Ondřej Kreml; Milan Pokorný; Pavel Šalom

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

Analysis of PDEs 2014-07-14 v1

Authors: Ondřej Kreml , Milan Pokorný , Pavel Šalom

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.

Keywords

viscoelastic non-Newtonian fluid Oldroyd model global existence weak solution Lipschitz truncation method nonlinear stress diffusion partial differential equations

Cite

@article{arxiv.1407.3090,
  title  = {On the global existence for a regularized model of viscoelastic non-Newtonian fluid},
  author = {Ondřej Kreml and Milan Pokorný and Pavel Šalom},
  journal= {arXiv preprint arXiv:1407.3090},
  year   = {2014}
}

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