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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 8, Pages 58–69 (Mi ivm1680)  
On a self-similar solution of the equation of gas filtration in a spherically symmetric porous medium

L. D. Eskin

Kazan State University
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Abstract: We consider the Cauchy problem for the Boussinesq equation, describing 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 $r\to\infty$ expansion and a convergent near $r=0$ one.
Keywords: self-similar solution, singular point, asymptotics, normal form, neighborhood.
Received: 20.09.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 8, Pages 48–57
DOI: https://doi.org/10.3103/S1066369X08080069
Bibliographic databases:
UDC: 532.5.011
Language: Russian
Citation: L. D. Eskin, “On a self-similar solution of the equation of gas filtration in a spherically symmetric porous medium”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 8, 58–69; Russian Math. (Iz. VUZ), 52:8 (2008), 48–57
Citation in format AMSBIB
\Bibitem{Esk08}
\by L.~D.~Eskin
\paper On a self-similar solution of the equation of gas filtration in a spherically symmetric porous medium
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 8
\pages 58--69
\mathnet{http://mi.mathnet.ru/ivm1680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2468315}
\zmath{https://zbmath.org/?q=an:1179.35090}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 8
\pages 48--57
\crossref{https://doi.org/10.3103/S1066369X08080069}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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