On first-order conservation laws for systems of hydrodynamic-type equations

DOI10.1007/BF02070520zbMath0934.35090OpenAlexW2061359299MaRDI QIDQ1817632

Yanyan Li

Publication date: 13 April 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02070520

zbMATH Keywords

nondiagonalizable systemspointwise changes of the variables

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65)

Related Items (4)

Extended symmetry analysis of an isothermal no-slip drift flux model ⋮ Remarks on the Lagrangian representation of bi-Hamiltonian equations ⋮ Some nonlinear equations reducible to diffusion-type equations ⋮ On the bi-Hamiltonian geometry of WDVV equations

Cites Work

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• Invariants du premier ordre des systèmes hyperboliques semi-linéaires
• On integrability of \(3 \times{}3\) semi-Hamiltonian hydrodynamic type systems \(u_ t^ i = v_ j^ i (u) u_ x^ j\) which do not possess Riemann invariants
• Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants

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