Lp Contractive solutions for scalar conservation laws

DOI10.1142/S0219891622500059zbMath1498.35120OpenAlexW4299430540WikidataQ115245135 ScholiaQ115245135MaRDI QIDQ5869124

Natsuki Minagawa, Hiroya Suzuki, Kihito Hinohara, Shou Ukita, Hiroki Ohwa

Publication date: 27 September 2022

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

Full work available at URL: https://doi.org/10.1142/s0219891622500059

zbMATH Keywords

stabilityconservation lawsCauchy problem\(L^p\) contractive semigroup

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (2)

An 𝐿^{𝑝} shock admissibility condition for conservation laws ⋮ 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
• \(L^1\) continuous dependence property for systems of 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
• A Moving Mesh Numerical Method for Hyperbolic Conservation Laws
• 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
• Front tracking for hyperbolic conservation laws

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