Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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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/

[1] Barenblatt G. I., Entov V. M., Ryzhik V. M., Teoriya nestatsionarnoi filtratsii zhidkosti i gaza, Nedra, M., 1972, 288 pp.

[2] Barenblatt G. I., “Ob avtomodelnykh resheniyakh zadachi Koshi dlya nelineinogo parabolicheskogo uravneniya nestatsionarnoi filtratsii gaza v poristoi srede”, PMM, 20:6 (1956), 761–763 | MR

[3] Eskin L. D., “K zadache P. Ya. Polubarinovoi-Kochinoi ob oporozhnenii basseina”, Izv. vuzov. Matematika, 2004, no. 9, 73–84 | MR

[4] Bautin N. N., Leontovich E. A., Metody i priemy kachestvennogo issledovaniya dinamicheskikh sistem na ploskosti, Nauka, M., 1990, 488 pp. | Zbl

[5] Bryuno A. D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979, 256 pp.

[6] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, GIFML, M., 1962, 1100 pp.