Uniform attractors of non-homogeneous micropolar
fluid flows in non-smooth domains
Uniform attractors of non-homogeneous micropolar
fluid flows in non-smooth domains
Two-dimensional non-autonomous micropolar fluid flows in a Lipschitz bounded domain with non-homogeneous boundary conditions is investigated. For a normal external function, which is not necessarily translation compact, in L2loc (R; D(A-1/4)), the existence of a D(A1/4) uniform attractor abstracting bounded sets of L2 is shown. This attractor coincides with that derived by assuming the external function to be normal with respect to the weak topology of L2loc (R; D(A-1/4)).
1619-1635
Chen, Jianwen
f907ab70-f315-4e92-88dd-993a8b8a70eb
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Dong, Bo-Qing
3d40f1e0-4de1-491e-9306-1056e1436ec3
2007
Chen, Jianwen
f907ab70-f315-4e92-88dd-993a8b8a70eb
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Dong, Bo-Qing
3d40f1e0-4de1-491e-9306-1056e1436ec3
Chen, Jianwen, Chen, Zhi-Min and Dong, Bo-Qing
(2007)
Uniform attractors of non-homogeneous micropolar
fluid flows in non-smooth domains.
Nonlinearity, 20 (7), .
(doi:10.1088/0951-7715/20/7/005).
Abstract
Two-dimensional non-autonomous micropolar fluid flows in a Lipschitz bounded domain with non-homogeneous boundary conditions is investigated. For a normal external function, which is not necessarily translation compact, in L2loc (R; D(A-1/4)), the existence of a D(A1/4) uniform attractor abstracting bounded sets of L2 is shown. This attractor coincides with that derived by assuming the external function to be normal with respect to the weak topology of L2loc (R; D(A-1/4)).
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Published date: 2007
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 46279
URI: http://eprints.soton.ac.uk/id/eprint/46279
ISSN: 0951-7715
PURE UUID: edab18ac-9e38-4411-9e10-7c5a5510435a
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Date deposited: 13 Jun 2007
Last modified: 15 Mar 2024 09:20
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Author:
Jianwen Chen
Author:
Zhi-Min Chen
Author:
Bo-Qing Dong
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