Solution of the equations for one-dimensional, two-phase, immiscible flow by geometric methods

DOI10.1007/S13324-016-0157-1zbMath1384.35079OpenAlexW2567137165MaRDI QIDQ1743901

Andrey Shevlyakov, Ivan Boronin

Publication date: 16 April 2018

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-016-0157-1

zbMATH Keywords

filtrationshock wavesgeometric methodsBuckley-Leverett equations

Mathematics Subject Classification ID

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) Applications of differential geometry to physics (53Z05)

Cites Work

• Unnamed Item
• Control of displacement front in a model of immiscible two-phase flow in porous media
• Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena

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