A new nonlinear functional for general scalar conservation laws

DOI10.1016/j.jde.2008.10.025zbMath1178.35249OpenAlexW2040887568MaRDI QIDQ1019668

Tong Yang, Zaihong Jiang

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.025

zbMATH Keywords

Glimm functionalwave front tracking methodgeneralized entropy functional

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30)

Cites Work

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• A nonlinear functional for general scalar hyperbolic conservation laws
• A new Glimm functional and 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
• Weak solutions of general systems of hyperbolic conservation laws
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Hyperbolic systems of conservation laws II
• 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
• Well-posedness theory for hyperbolic conservation laws
• Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
• Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
• Solutions in the large for nonlinear hyperbolic systems of equations
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Solutions with shocks: An example of an L₁‐contractive semigroup

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