HOMOGENIZATION OF THE INCOMPRESSIBLE NAVIER-STOKES FLUID WITH OSCILLATION COEFFICIENT |
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| Authors: | Hongxing ZHAO |
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| Institution: | [1]College of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China [2]Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou 510006, China |
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| Abstract: | We study the homogenization of the incompressible Navier-Stokes equations with periodic oscillating coefficient in a bounded non-homogeneous media. To do that, we introduce a generalized compensate compactness result and a suitable class of test function to this problem. By passing the limit, we obtain the homogenized model of this problem. |
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| Keywords: | Div-curl lemma homogenization Navier-Stokes equations |
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