Geodesic
On a self-similar solution of the equation of gas filtration in a spherically symmetric porous medium
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 58-69

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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. 
@article{IVM_2008_8_a5,
     author = {L. D. Eskin},
     title = {On a self-similar solution of the equation of gas filtration in a spherically symmetric porous medium},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {58--69},
     publisher = {mathdoc},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_8_a5/}
}
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L. D. Eskin. On a self-similar solution of the equation of gas filtration in a spherically symmetric porous medium. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 58-69. http://geodesic.mathdoc.fr/item/IVM_2008_8_a5/