ABOUT UNIQUENESS OF WEAK SOLUTIONS TO FIRST ORDER QUASI-LINEAR EQUATIONS

DOI10.1142/S0218202502002252zbMath1027.35072OpenAlexW2090125210MaRDI QIDQ4798948

Juan Soler, Frederic Poupaud, Juanjo Nieto

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202502002252

zbMATH Keywords

entropy solutionsparticle methodgeneralized characteristicsHopf equation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45)

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Cites Work

• Generalized characteristics in hyperbolic systems of conservation laws
• Uniqueness of weak solutions to systems of conservation laws
• Initial layers and uniqueness of weak entropy solutions to hyperbolic conservation laws
• The unique limit of the Glimm scheme
• Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
• Time regularity for the system of isentropic gas dynamics with γ= 3
• Solutions in the large for nonlinear hyperbolic systems of equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• High-field limit for the Vlasov-Poisson-Fokker-Planck system.

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