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Invariants du premier ordre des systèmes hyperboliques semi-linéaires

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Publication:787026
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DOI10.1016/0022-0396(83)90015-3zbMath0528.35060OpenAlexW1965643601MaRDI QIDQ787026

Denis Serre

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90015-3


zbMATH Keywords

Cauchy problemsemilinear hyperbolic systemfirst order invariant


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)


Related Items

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



Cites Work

  • Les invariants du premier ordre de l'équation d'Euler en dimension trois (The first order invariants of the three-dimensional Euler equations)
  • Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
  • Solutions in the large for nonlinear hyperbolic systems of equations
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