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

• Autorzy: Ondřej Kreml , Milan Pokorný , Pavel Šalom
• Języki publikacji: EN

Abstrakty

EN

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like $μ(D) ∼ |D|^{p-2}$ (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.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 139
• Numer: 2
• Strony: 149-163

Daty

wydano

2015

Twórcy

autor

Ondřej Kreml

• Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 65 Praha 1, Czech Republic

autor

Milan Pokorný

• Mathematical Institute, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75 Praha 8, Czech Republic

autor

Pavel Šalom

• Department of Mathematics Education, Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, 186 75 Praha 8, Czech Republic

Identyfikatory

DOI

10.4064/cm139-2-1