A NOTE ON THE NEW GLIMM FUNCTIONAL FOR GENERAL SYSTEMS OF HYPERBOLIC CONSERVATION LAWS

DOI10.1142/S0218202510004453zbMath1211.35186MaRDI QIDQ3573108

Tong Yang, Jiale Hua

Publication date: 30 June 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

conservation lawsconvergence ratehyperbolicityGlimm functional

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items (max. 100)

On a quadratic functional for scalar conservation laws ⋮ Quadratic interaction functional for general systems of conservation laws

Cites Work

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• An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws
• Convergence of approximate solutions to conservation laws
• The deterministic version of the Glimm scheme
• Error bounds for a deterministic version of the Glimm scheme
• Weak solutions of general systems of hyperbolic conservation laws
• Existence theory for hyperbolic systems of conservation laws with general flux-functions
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• Interaction estimates and Glimm functional for general hyperbolic systems
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Hyperbolic systems of conservation laws II
• Well-posedness theory for hyperbolic conservation laws
• Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
• Solutions in the large for nonlinear hyperbolic systems of equations

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