Global Structure of Admissible BV Solutions to Piecewise Genuinely Nonlinear, Strictly Hyperbolic Conservation Laws in One Space Dimension

DOI10.1080/03605302.2013.775153zbMath1350.35113arXiv1211.3526OpenAlexW2016948654MaRDI QIDQ5413811

Stefano Bianchini, Lei Yu

Publication date: 2 May 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3526

zbMATH Keywords

wave-front trackingsubdiscontinuities of a shock

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (3)

A quadratic interaction estimate for conservation laws: motivations, techniques and open problems ⋮ On the structure of BV entropy solutions for hyperbolic systems of balance laws with general flux function ⋮ Structure of entropy solutions to general scalar conservation laws in one space dimension

Cites Work

• Unnamed Item
• SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension
• The Riemann problem for general systems of conservation laws
• Interaction estimates and Glimm functional for general hyperbolic systems
• The semigroup generated by \(2 \times 2\) conservation laws
• Existence theory by front tracking for general nonlinear hyperbolic systems
• Admissible solutions of hyperbolic conservation laws
• Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws

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