SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension

DOI10.1007/s00220-012-1480-5zbMath1261.35089arXiv1111.6246OpenAlexW1989612263MaRDI QIDQ443882

Stefano Bianchini, Laura Caravenna

Publication date: 13 August 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6246

zbMATH Keywords

entropy solutionsBV and SBV regularityGlimm functionalinteraction measures

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65)

Related Items (11)

On Hyperbolic Balance Laws and Applications ⋮ A note on regularity and failure of regularity for systems of conservation laws via Lagrangian formulation ⋮ Existence and uniqueness of the global \(L^1\) solution of the Euler equations for Chaplygin gas ⋮ Steady and Self-Similar Solutions of Non-Strictly Hyperbolic Systems of Conservation Laws ⋮ SBV regularity for Burgers-Poisson equation ⋮ Initial data identification in conservation laws and Hamilton-Jacobi equations ⋮ Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension ⋮ Regularity estimates for scalar conservation laws in one space dimension ⋮ Weak Measure-Valued Solutions of a Nonlinear Hyperbolic Conservation Law ⋮ On the concentration of entropy for scalar conservation laws ⋮ New interaction estimates for the Baiti-Jenssen system

Cites Work

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• Wave fans are special
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• SBV REGULARITY OF ENTROPY SOLUTIONS FOR A CLASS OF GENUINELY NONLINEAR SCALAR BALANCE LAWS WITH NON-CONVEX FLUX FUNCTION
• Admissible solutions of hyperbolic conservation laws
• Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws
• A Sharp Decay Estimate for Positive Nonlinear Waves
• A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
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