On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition

• Autorzy: Mahdi Boukrouche , Grzegorz Łukaszewicz
• Języki publikacji: EN

Abstrakty

EN

We consider a two-dimensional Navier-Stokes shear flow with time dependent boundary driving and subject to Tresca law. We establish the existence of a unique global in time solution and then, using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set, we prove the existence of the pullback attractor for the associated cocycle. This research is motivated by a problem from lubrication theory.

Kategorie tematyczne

• 76D05: Navier-Stokes equations
• 76F10: Shear flows
• 76F20: Dynamical systems approach to turbulence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 81-93

Daty

wydano

2008

Twórcy

autor

Mahdi Boukrouche

• Laboratory of Mathematics, University of Saint-Etienne, LaMUSE EA-3989, 23 rue du Dr Paul Michelon, Saint-Etienne, 42023, France

autor

Grzegorz Łukaszewicz

• Mathematics Department, University of Warsaw, Banacha 2, 02-957 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc81-0-5