Scalar conservation laws on constant and time-dependent Riemannian manifolds

DOI10.1016/j.jde.2012.11.002zbMath1263.35160arXiv1205.3651OpenAlexW2049537071WikidataQ125591659 ScholiaQ125591659MaRDI QIDQ1937366

Thomas Müller, Daniel Lengeler

Publication date: 28 February 2013

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

Full work available at URL: https://arxiv.org/abs/1205.3651

zbMATH Keywords

entropy solutionshock wavesmeasure-valued solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hyperbolic equations on manifolds (58J45)

Related Items (10)

Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ Geometric error of finite volume schemes for conservation laws on evolving surfaces ⋮ Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ Well-posedness theory for degenerate parabolic equations on Riemannian manifolds ⋮ On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary ⋮ Hamilton–Jacobi equations on an evolving surface ⋮ Well-posedness of evolution equations with time-dependent nonlinear mobility: a modified minimizing movement scheme ⋮ Asymptotic structure of cosmological fluid flows: a numerical study

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