High Frequency Waves and the Maximal Smoothing Effect for Nonlinear Scalar Conservation Laws

DOI10.1137/120880367zbMath1304.35417arXiv1302.2590OpenAlexW2064355401MaRDI QIDQ2878995

Stéphane Junca

Publication date: 5 September 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2590

zbMATH Keywords

entropy solutionsnonlinear geometric opticsmultidimensional conservation laws

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Hyperbolic conservation laws (35L65) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ Fractional BV spaces and applications to scalar conservation laws ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ On the maximal smoothing effect for multidimensional scalar conservation laws

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