About the self-similar solution of Cauchy problem for the gas filtration equation in porous medium with axial symmetry
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 83-93

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A formal expansion of the self-similar solution of Cauchy problem for Boussinesq equation describing gas filtration in an axial symmetry porous medium of $r\to\infty$ and a convergent expansion in the neighborhood of the $r=0$ are constructed.
@article{UZKU_2006_148_4_a7,
     author = {L. D. \`Eskin},
     title = {About the self-similar solution of {Cauchy} problem for the gas filtration equation in porous medium with axial symmetry},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {83--93},
     publisher = {mathdoc},
     volume = {148},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a7/}
}
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L. D. Èskin. About the self-similar solution of Cauchy problem for the gas filtration equation in porous medium with axial symmetry. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 4, pp. 83-93. http://geodesic.mathdoc.fr/item/UZKU_2006_148_4_a7/