A Miranville and X Wang 1997 Nonlinearity 10 1047 doi:10.1088/0951-7715/10/5/003
Attractors for nonautonomous nonhomogeneous Navier - Stokes equations
A Miranville
and X Wang
Recommended by S Childress
In this paper our aim is to derive an upper bound on the dimension of the attractor of the family of processes associated to the Navier - Stokes equations with nonhomogeneous boundary conditions depending on time. We consider two-dimensional flows with prescribed quasiperiodic (in time) tangential velocity at the boundary, and obtain an upper bound which is polynomial with respect to the viscosity.
- PACS
- MSC
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37F35 Conformal densities and Hausdorff dimension
35Q30 Stokes and Navier-Stokes equations (See also 76D05, 76D07, 76N10)
- Subjects
- Dates
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Issue 5 (September 1997)
Received 8 October 1996, in final form 3 April 1997
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Attractors for nonautonomous nonhomogeneous Navier - Stokes equations
A Miranville and X Wang 1997 Nonlinearity 10 1047
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