S. V. Khabirov, S. S. Khabirov, “Self-similar elastic regime of filtration through moving boundary”, Proceedings of the Mavlyutov Institute of Mechanics, 2018, Volume 13, Issue 3, Pages 64

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Proceedings of the Mavlyutov Institute of Mechanics, 2018, Volume 13, Issue 3, Pages 64–72
DOI: https://doi.org/10.21662/mfs2018.3.010 (Mi pmim30)

This article is cited in 1 scientific paper (total in 1 paper)

Self-similar elastic regime of filtration through moving boundary

S. V. Khabirov, S. S. Khabirov

Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences

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DOI: https://doi.org/10.21662/mfs2018.3.010

URL: http://mfs.uimech.org/mfs2018.3.010

Abstract: The one-dimensional problem of elastic filtration of fluid through moving boundary is considered. The boundary conditions for invariant problem is introduced. The problem is reduced to overdetermine boundary problem for Veber equation. The exact solutions are obtained. For arbitrary invariant filtration law the relationship between overdetermine invariant boundary conditions is obtained.

Keywords: elastic filtration, moving boundary, invariant solutions, Veber equation, boundary problem, asymptotics of solutions.

Funding agency	Grant number
Russian Foundation for Basic Research	18-29-10071-мк

Received: 10.10.2018

Document Type: Article

UDC: 517.958:532.5

Language: Russian

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