On compactness estimates for hyperbolic systems of conservation laws

DOI10.1016/j.anihpc.2014.09.002zbMath1339.35171arXiv1403.5070OpenAlexW2082369436MaRDI QIDQ896168

Fabio Ancona, Olivier Glass, Khai T. Nguyen

Publication date: 11 December 2015

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire, Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5070

zbMATH Keywords

one space dimensionKolmogorov entropyentropy weak solutionsnonlinear characteristic familiesTemple systems

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30)

Related Items (12)

Metric Entropy for Hamilton--Jacobi Equations with Uniformly Directionally Convex Hamiltonian ⋮ On the Burgers-Poisson equation ⋮ Initial data identification in conservation laws and Hamilton-Jacobi equations ⋮ On compactness estimates for hyperbolic systems of conservation laws ⋮ A lower bound on the quantitative version of the transversality theorem ⋮ Examples and conjectures on the regularity of solutions to balance laws ⋮ Unique solutions to hyperbolic conservation laws with a strictly convex entropy ⋮ Covering numbers for bounded variation functions ⋮ Quantitative compactness estimates for Hamilton-Jacobi equations ⋮ Exact controllability of scalar conservation laws with strict convex flux ⋮ Metric Entropy for Functions of Bounded Total Generalized Variation ⋮ On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity

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