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

Ondřej Kreml; Milan Pokorný; Pavel Šalom

doi:10.4064/cm139-2-1

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

Ondřej Kreml ¹ ; Milan Pokorný ² ; Pavel Šalom ³

¹ Institute of Mathematics Academy of Sciences of the Czech Republic Žitná 25 115 65 Praha 1, Czech Republic
² Mathematical Institute Faculty of Mathematics and Physics Charles University in Prague Sokolovská 83 186 75 Praha 8, Czech Republic
³ Department of Mathematics Education Faculty of Mathematics and Physics Charles University in Prague Sokolovská 83 186 75 Praha 8, Czech Republic

Colloquium Mathematicum, Tome 139 (2015) no. 2, pp. 149-163.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Résumé

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $\mu (\mathbf {D}) \sim | \mathbf {D} |^{p-2}$ ($p>{6/5}$), 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.

DOI : 10.4064/cm139-2-1

Keywords: study generalized oldroyd model viscosity depending shear stress behaving mathbf sim mathbf p regularized nonlinear stress diffusion using lipschitz truncation method prove global existence weak solution corresponding system partial differential equations

Affiliations des auteurs :

Ondřej Kreml ¹ ; Milan Pokorný ² ; Pavel Šalom ³

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Ondřej Kreml; Milan Pokorný; Pavel Šalom. On the global existence for a regularized model of viscoelastic non-Newtonian fluid. Colloquium Mathematicum, Tome 139 (2015) no. 2, pp. 149-163. doi : 10.4064/cm139-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm139-2-1/

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