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The averaging of the diffusion equation in a porous medium with weak absorption

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Literature cited

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    L. V. Berlyand, “The averaging of the equations of the linear theory of elasticity in domains with fine-grained boundary, II,” Teor. Funktsii Funktsional. Anal, i Prilozhen. (Khar'kov), No. 40, 16–23 (1983).

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    E. Ya. Khruslov, “The asymptotic behavior of the solutions of the second boundary value problem in the case of a fine-grained boundary of the domain,” Mat. Sb.,106 (148), No. 4, 604–621 (1978).

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    V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, “The averaging of parabolic operators,” Trudy Mosk. Mat. Obshch.,45, 182–236 (1982).

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    E. Ya. Khruslov, “On the convergence of the solutions of the second boundary value problem in weakly connected domains,” in: Theory of Operators in Function Spaces and Its Applications [in Russian], Naukova Dumka, Kiev (1981), pp. 129–173.

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    L. V. Berlyand, “On the convergence of the resolutions of the identity for the operators of the second boundary value problem,” Teor. Funktsii Funktsional. Anal, i Prilozhen. (Khar'kov), No. 33, 3–8 (1979).

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    V. L. Berdichevskii, “Space averaging of periodic structures,” Dokl. Akad. Nauk SSSR,22, No. 3, 565–567 (1975).

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Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 52, pp. 113–122, 1989.

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Berlyand, L.V., Goncharenko, M.V. The averaging of the diffusion equation in a porous medium with weak absorption. J Math Sci 52, 3428–3435 (1990). https://doi.org/10.1007/BF01099912

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Keywords

  • Porous Medium
  • Diffusion Equation
  • Weak Absorption