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Homogenization of a Coupled System with Periodic Oscillating Coefficients

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Abstract

We study the homogenization of a coupled system with periodic oscillating coefficients in bounded non-homogeneous media. The system couples the Navier–Stokes and a classical parabolic diffusive equation. 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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Authors and Affiliations

  1. College of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, People’s Republic of China

    Hongxing Zhao

  2. Key Laboratory of Mathematics and Interdisciplinary Sciences, of Guangdong Higher EducationInstitutes, Guangzhou University, Guangzhou, People’s Republic of China

    Hongxing Zhao

  3. Department of Mathematics, Sun Yat-Sen University, Guangzhou, People’s Republic of China

    Zheng-an Yao

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  1. Hongxing Zhao
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  2. Zheng-an Yao
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Correspondence to Hongxing Zhao.

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Zhao, H., Yao, Za. Homogenization of a Coupled System with Periodic Oscillating Coefficients. Mediterr. J. Math. 11, 1033–1046 (2014). https://doi.org/10.1007/s00009-014-0405-2

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  • DOI: https://doi.org/10.1007/s00009-014-0405-2

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