THE RIEMANN PROBLEM FOR MULTIPHASE FLOWS IN POROUS MEDIA WITH MASS TRANSFER BETWEEN PHASES

DOI10.1142/S0219891609001988zbMath1196.35138OpenAlexW2021762911MaRDI QIDQ5189954

Dan Marchesin, Wanderson Lambert

Publication date: 11 March 2010

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891609001988

zbMATH Keywords

multiphase flowlocal thermodynamical equilibriumgeothermal energy

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Bifurcations in context of PDEs (35B32)

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Cites Work

• A global formalism for nonlinear waves in conservation laws
• The Riemann problem for general systems of conservation laws
• The Riemann problem for materials with nonconvex equations of state. I: Isentropic flow
• Combustion Fronts in Porous Media
• The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I
• Continuous Dependence in Conservation Laws with Phase Transitions