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Ukrainian Mathematical Journal

, Volume 67, Issue 9, pp 1349–1366 | Cite as

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

  • M. V. Goncharenko
  • L. A. Khil’kova
Article
  • 69 Downloads

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.

Keywords

Porous Medium Generalize Solution Elliptic Problem Diffusion Equation Homogenize Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer Science+Business Media New York 2016

Authors and Affiliations

  • M. V. Goncharenko
    • 1
  • L. A. Khil’kova
    • 2
  1. 1.Institute for Low Temperature Physics and EngineeringUkrainian National Academy of SciencesKharkovUkraine
  2. 2.Institute of Chemical TechnologiesDal’ East-Ukrainian National UniversityRubezhnoeUkraine

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