Global attractor for Navier-Stokes equations in cylindrical domains

• Autorzy: Bernard Nowakowski , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

Global and regular solutions of the Navier-Stokes system in cylindrical domains have already been obtained under the assumption of smallness of (1) the derivative of the velocity field with respect to the variable along the axis of cylinder, (2) the derivative of force field with respect to the variable along the axis of the cylinder and (3) the projection of the force field on the axis of the cylinder restricted to the part of the boundary perpendicular to the axis of the cylinder. With the same assumptions we prove in this paper the existence of a global attractor for the Navier-Stokes equations and convergence of solutions to the stationary solutions for the large viscosity coefficient.

Kategorie tematyczne

• 76D03: Existence, uniqueness, and regularity theory
• 34D45: Attractors
• 76D05: Navier-Stokes equations
• 35Q30: Navier-Stokes equations
• 34D05: Asymptotic properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 2
• Strony: 183-194

Daty

wydano

2009

Twórcy

autor

Bernard Nowakowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am36-2-6