An 𝐿^{𝑝} shock admissibility condition for conservation laws

DOI10.1090/QAM/1610zbMath1487.35249OpenAlexW4212895842WikidataQ114849121 ScholiaQ114849121MaRDI QIDQ5067473

Hiroki Ohwa

Publication date: 1 April 2022

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1610

zbMATH Keywords

stabilityconservation lawsshock wavesrarefaction waves\(L^p\) local contractions

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Continuous dependence on the initial and flux functions for solutions of conservation laws

Cites Work

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• \(L^1\) stability estimates for \(n\times n\) conservation laws
• Stability of approximate solutions constructed by the wave front tracking method
• Polygonal approximations of solutions of the initial value problem for a conservation law
• 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
• Lp Contractive solutions for scalar conservation laws
• Front tracking for hyperbolic conservation laws

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