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

2014/07/11 by Ondřej Kreml, Kreml, Ondřej, Milan Pokorný +3 · 1 citation
Mathematics · #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q35

paper · pdf · doi:10.48550/arxiv.1407.3090

arxiv created 2014/07/11 · arxiv updated 2014/07/14

Abstract

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like μ(D) ∼ |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.

Cited by

• Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model

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