Attractors for nonautonomous nonhomogeneous Navier-Stokes equations

Nonlinearity

Volumn 10, Issue 5, 1997, Pages 1047-1061

  Miranville, A ^a   Wang, X ^b  

^a UNIVERSITÉ DE POITIERS   (France)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006618020     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/5/003     Document Type: Article

References (12)

1. Chepyzhov V V and Vishik M I 1994 Attractors of non-autonomous dynamical systems and their dimension J. Math. Pures Appl. 73 279-333
2. Constantin P, Foias C, and Temam R 1985 Attractors representing turbulent flows Mem. AMS 53
3. Constantin P, Foias C, and Temam R 1988 On the dimension of the attractors in two-dimensional turbulence Physica D 30 284-96
4. Doering C and Wang X Degrees of freedom for two dimensional shear driven channel flow Preprint
5. Haraux A 1991 Systèmes Dynamiques Dissipatifs (Paris: Masson)
6. Gilbarg D and Trudinger N 1983 Elliptic Partial Differential Equations of Second Order (Berlin: Springer)
7. Miranville A 1993 Shear layer flow in a channel: Estimate on the dimension of the attractor Physica D 65 135-53
8. Miranville A and Wang X 1996 Upper bound on the dimension of the attractor for the nonhomogeneous Navier-Stokes equations Disc. Contin. Dynam. Syst. 2 95-110
9. Smiley M 1993 Global attractors and approximate inertial manifolds for nonautonomous dissipative equations Appl. Anal. 50 217-41
10. Temam R 1984 Navier-Stokes Equations, Theory and Numerical Analysis 3rd edition (Amsterdam: North-Holland)
11. Temam R 1988 Infinite Dimensional Dynamical Systems in Mechanics and Physics (Berlin: Springer)
12. Temam R and Wang X 1995 Asymptotic analysis of the linearized Navier-Stokes equations in a 2-D channel J. Diff. Int. Eqns 8 1591-1618