A regularity theorem for a non-convex scalar conservation law

DOI10.1016/0022-0396(86)90126-9zbMath0545.34005OpenAlexW2013030323MaRDI QIDQ797738

Kuo-Shung Cheng

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90126-9

zbMATH Keywords

conservation lawflux functionregularity theorem

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Free motions in linear vibration theory (70J30)

Related Items (14)

Lagrangian representations for linear and nonlinear transport ⋮ On the structure of \({L^\infty}\)-entropy solutions to scalar conservation laws in one-space dimension ⋮ Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ AN EXTENSION OF OLEINIK's INEQUALITY FOR GENERAL 1D SCALAR CONSERVATION LAWS ⋮ The rectifiability of entropy measures in one space dimension. ⋮ Regularity of solutions to scalar conservation laws with a force ⋮ The fundamental solution of a conservation law without convexity ⋮ Transonic flow of a fluid with positive and negative nonlinearity through a nozzle ⋮ Dynamics in the fundamental solution of a non-convex conservation law ⋮ Metric Entropy for Functions of Bounded Total Generalized Variation ⋮ On the structure of weak solutions to scalar conservation laws with finite entropy production ⋮ On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ Regularity estimates for scalar conservation laws in one space dimension

Cites Work

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• Asymptotic behavior of solutions of a conservation law without convexity conditions
• Decay rate of periodic solutions for a conservation law
• Constructing solutions of a single conservation law
• The space BV is not enough for hyperbolic conservation laws
• Hyperbolic systems of conservation laws II
• Asymptotic behavior for a hyperbolic conservation law with periodic initial data
• Solutions to Nonlinear Hyperbolic Cauchy Problems Without Convexity Conditions
• The partial differential equation u_t + uu_x = μ_xx

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