Analysis of a scalar conservation law with a flux function with discontinuous coefficients

zbMath1102.35063MaRDI QIDQ2501623

Florence Bachmann

Publication date: 15 September 2006

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problementropy solutionstwo-phase flow in porous mediaconservation laws with discontinuous coefficients

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (8)

Unnamed Item ⋮ Mathematical analysis of a scalar multidimensional conservation law with discontinuous flux ⋮ Riemann problem for the 2D scalar conservation law involving linear fluxes with discontinuous coefficients ⋮ The Cauchy problem for 1-D linear nonconservative hyperbolic systems with possibly expansive discontinuity of the coefficient: a viscous approach ⋮ Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium ⋮ Viscous approach for linear hyperbolic systems with discontinuous coefficients ⋮ Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities ⋮ Coupling two- and one-dimensional unsteady Euler equations through a thin interface

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