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The attractors for the nonhomogeneous nonautonomous Navier-Stokes equations |
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| Authors: | Delin Wu Chengkui Zhong |
| Affiliation: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China |
| Abstract: | In this paper, we consider the attractors for the two-dimensional nonautonomous Navier-Stokes equations in nonsmooth bounded domain Ω with nonhomogeneous boundary condition u=φ on ∂Ω. Assuming  , which is translation compact and φ∈L∞(∂Ω), we establish the existence of the uniform attractor in L2(Ω) and  . |
| Keywords: | Attractor Measure of noncompactness Uniformly ω-limit compact Uniform condition (C) Nonhomogeneous boundary Navier-Stokes equation |
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