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Homogenized Model of Diffusion in Porous Media with Nonlinear Absorption on the Boundary

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Ukrainian Mathematical Journal Aims and scope

We consider a boundary-value problem used to describe the process of stationary diffusion in a porous medium with nonlinear absorption on the boundary. We study the asymptotic behavior of the solution when the medium becomes more and more porous and denser located in a bounded domain Ω. A homogenized equation for the description of the main term of the asymptotic expansion is constructed.

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Authors and Affiliations

  1. Institute for Low Temperature Physics and Engineering, Ukrainian National Academy of Sciences, Kharkov, Ukraine

    M. V. Goncharenko

  2. Institute of Chemical Technologies, Dal’ East-Ukrainian National University, Rubezhnoe, Ukraine

    L. A. Khil’kova

Authors
  1. M. V. Goncharenko
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  2. L. A. Khil’kova
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 9, pp. 1201–1216, September, 2015.

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Goncharenko, M.V., Khil’kova, L.A. Homogenized Model of Diffusion in Porous Media with Nonlinear Absorption on the Boundary. Ukr Math J 67, 1349–1366 (2016). https://doi.org/10.1007/s11253-016-1158-9

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  • DOI: https://doi.org/10.1007/s11253-016-1158-9

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