Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain

zbMath0980.35097MaRDI QIDQ5946167

Philippe G. LeFloch, Cezar I. Kondo

Publication date: 24 February 2002

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49066

zbMATH Keywords

entropy inequalityboundary conditionsstrong convergence of diffusive approximations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (6)

Genuinely nonlinear forward-backward ultra-parabolic equations ⋮ Scalar multidimensional conservation laws IBVP in noncylindrical Lipschitz domains. ⋮ A vanishing dynamic capillarity limit equation with discontinuous flux ⋮ Hyperbolic conservation laws on manifolds with limited regularity ⋮ Higher-order for the multidimensional generalized BBM-Burgers equation: Existence and convergence results ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary

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