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physics.flu-dyn2014★ 1 cited
Approximate self-similar solutions for the boundary value problem arising in modeling of gas flow in porous media with pressure dependent permeability
Nikolay A. Kudryashov, Mark B. Kochanov, Viktoria L. Savatorova
The flow of a gas through porous medium is considered in the case of pressure dependent permeability. Approximate self-similar solutions of the boundary-value problems are found.
physics.flu-dyn2014★ 65 cited
Analytical solutions of the Rayleigh equation for empty and gas--filled bubble
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
The Rayleigh equation for bubble dynamics is widely used. However, analytical solutions of this equation have not been obtained previously. Here we find closed--form general soluti…