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A self-similar solution to the equation of gas filtration in a spherically symmetric porous medium
Authors:L. D. Eskin
Affiliation:(1) Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia
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.
Keywords:self-similar solution  singular point  asymptotics  normal form  neighborhood
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