Entropy solutions to the Buckley--Leverett equations

DOI10.1007/BF02674603zbMath0949.76081OpenAlexW1972672665MaRDI QIDQ1577179

P. I. Plotnikov, Stephan Luckhaus

Publication date: 30 August 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120656

zbMATH Keywords

porous mediumtwo-phase flowelliptic regularizationexistence of measure-valued entropy solutionsHele-Shaw cells

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

Local solvability of the capillary problem ⋮ Periodic groups acting freely on Abelian groups. ⋮ Oscillations in Dynamic Systems with an Entropy Operator ⋮ The generalized Buckley-Leverett system: solvability ⋮ Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media ⋮ Three models for two phase flow in porous media

Cites Work

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• Measure-valued solutions to conservation laws
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES