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