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A self-similar solution to the equation of gas filtration in a spherically symmetric porous medium

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Abstract

We consider the Cauchy problem for the Boussinesq equation which describes filtration of a gas in a spherically symmetric porous medium. For the self-similar solution to this problem we construct a formal in the neighborhood of the point r → ∞ expansion and a convergent near r = 0 one.

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Authors and Affiliations

  1. Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    L. D. Eskin

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  1. L. D. Eskin
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Original Russian Text © L.D. Eskin, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 8, pp. 58–69.

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Eskin, L.D. A self-similar solution to the equation of gas filtration in a spherically symmetric porous medium. Russ Math. 52, 48–57 (2008). https://doi.org/10.3103/S1066369X08080069

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  • DOI: https://doi.org/10.3103/S1066369X08080069

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