Attractors for the penalized Navier-Stokes equations

Journal Article · Thu Dec 31 23:00:00 EST 1987 · SIAM J. Math. Anal.; (United States)

DOI:https://doi.org/10.1137/0519001· OSTI ID:5330495

Brefort, B; Ghidaglia, J M; Temam, R

Consideration is given to the penalized form of the Navier-Stokes equations for a viscous incompressible fluid where the pressure and the incompressibility equations are suppressed and replaced by a penalty term in the momentum conservation equation. Here, the existence of an attractor for the penalized Navier-Stokes equation is studied, this attractor describing the long-time behavior of the solutions. Then the penalty parameter is allowed to tend to zero, and it is shown how the attractors of the penalized equations approximate the attractor of the exact equations. 19 references.

• Research Organization: Paris XI Universite, Orsay (France)
• OSTI ID: 5330495
• Journal Information: SIAM J. Math. Anal.; (United States), Journal Name: SIAM J. Math. Anal.; (United States) Vol. 19; ISSN SJMAA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONSERVATION LAWS
CONVERGENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUIDS
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
VARIATIONAL METHODS