Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems

zbMath1500.35236arXiv2203.15122MaRDI QIDQ2083433

Javier de Lucas, A. Michel Grundland

Publication date: 10 October 2022

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15122

zbMATH Keywords

quasi-linear hyperbolic systemhydrodynamic systemBrownian motion equationquasi-linear first-order systemRiemann \(k\)-wave solutionRiemann wave solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Brownian motion (60J65) Surfaces in Euclidean and related spaces (53A05) Geometric theory, characteristics, transformations in context of PDEs (35A30) First-order hyperbolic equations (35L02)

Cites Work

• On the integrability of \((2+1)\)-dimensional quasilinear systems
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• Invariant solutions of hydrodynamic-type equations
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• THE LAGRANGE-RIEMANN METHOD FOR INTEGRATION OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS
• Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs
• Almost global existence to nonlinear wave equations in three space dimensions
• Simple waves and invariant solutions of quasilinear systems
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