Hyperbolic conservation laws on manifolds with limited regularity

DOI10.1016/j.crma.2008.03.017zbMath1145.35428arXiv0808.2895OpenAlexW2038070500MaRDI QIDQ927111

Baver Okutmustur, Philippe G. LeFloch

Publication date: 22 May 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2895

zbMATH Keywords

Lorentzian manifolds

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Hyperbolic equations on manifolds (58J45)

Related Items (4)

Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes ⋮ Hyperbolic Conservation Laws on Spacetimes ⋮ Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere ⋮ On the Dirichlet problem for first order quasilinear equations on a manifold

Cites Work

• Unnamed Item
• Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme
• Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method
• Measure-valued solutions of scalar conservation laws with boundary conditions
• Finite volume schemes on Lorentzian manifolds
• Measure-valued solutions to conservation laws
• Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
• Hyperbolic conservation laws and spacetimes with limited regularity
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Measure-valued solutions and well-posedness of multi-dimensional conservation laws in a bounded domain

This page was built for publication: Hyperbolic conservation laws on manifolds with limited regularity