Abstract
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.
Recommended Citation
A. Miranville and X. Wang, "Attractors for Nonautonomous Nonhomogeneous Navier-Stokes Equations," Nonlinearity, vol. 10, no. 5, pp. 1047 - 1061, IOP Publishing; London Mathematical Society, Sep 1997.
The definitive version is available at https://doi.org/10.1088/0951-7715/10/5/003
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
0951-7715
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 IOP Publishing; London Mathematical Society, All rights reserved.
Publication Date
01 Sep 1997
