Mass and heat transport in the two-phase Buckley-Leverett model

DOI10.1016/j.geomphys.2016.06.010zbMath1360.80006OpenAlexW2493244091MaRDI QIDQ508051

Alexei G. Kushner, Valentin V. Lychagin, Atlas V. Akhmetzyanov

Publication date: 9 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.06.010

zbMATH Keywords

asymptoticsintegrabilityshock wavescaustics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Flows in porous media; filtration; seepage (76S05)

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Solution of equations of a one-dimensional problem on two-phase filtration in a porous medium with account of thermodynamical effects by using geometric methods, Optimal management of oil field development in the Buckley-Leverett model, On one approach for the numerical solving of hyperbolic initial-boundary problems on an adaptive moving grids

Cites Work

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• Theory of fluid flows through natural rocks
• Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena
• Generalized Buckley-Leverett problem