Geodesic
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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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 
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     title = {On the global existence for a regularized model of viscoelastic {non-Newtonian} fluid},
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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

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