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

被引:0
作者
L. D. Eskin
机构
[1] Kazan State University,
关键词
self-similar solution; singular point; asymptotics; normal form; neighborhood;
D O I
10.3103/S1066369X08080069
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学科分类号
摘要
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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页码:48 / 57
页数:9
相关论文
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[1]  
Barenblatt G. I.(1956)Self-Similar Solutions to the Cauchy Problem for Nonlinear Parabolic Equations of Nonstationary Gas Filtration in a Porous Medium Prikl. Mat. Mekh. 20 761-763