Title of article
The attractors for the nonhomogeneous nonautonomous Navier–Stokes equations
Author/Authors
Delin Wu ?، نويسنده , , Chengkui Zhong، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
19
From page
426
To page
444
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
f = f (x, t) ∈ L2
loc((0,T );D(Aα/4)), which is translation compact and ϕ ∈ L∞(∂Ω), we establish the
existence of the uniform attractor in L2(Ω) and D(A1/4).
© 2005 Elsevier Inc. All rights reserved.
Keywords
Measure of noncompactness , Uniformly ?-limit compact , Nonhomogeneous boundary , Uniform condition (C) , Navier–Stokes equation , Attractor
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934725
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