Quadratic interaction estimate for hyperbolic conservation laws: an overview

DOI10.1007/s10958-018-3972-0zbMath1420.35159OpenAlexW2887428664WikidataQ114852345 ScholiaQ114852345MaRDI QIDQ1618299

Stefano Modena

Publication date: 13 November 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3972-0

zbMATH Keywords

wavefront solution

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• The Riemann problem for general systems of conservation laws
• The deterministic version of the Glimm scheme
• The semigroup generated by a Temple class system with large data
• Error bounds for a deterministic version of the Glimm scheme
• Interaction estimates and Glimm functional for general hyperbolic systems
• Quadratic interaction functional for general systems of conservation laws
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems
• Quadratic interaction functional for systems of conservation laws: a case study
• On a quadratic functional for scalar conservation laws
• Hyperbolic systems of conservation laws II
• The Riemann Problem for General 2 × 2 Conservation Laws
• Systems of Conservation Laws with Invariant Submanifolds
• Solutions in the large for nonlinear hyperbolic systems of equations
• The semigroup generated by a Temple class system with non-convex flux function.

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