Géométrie des systèmes hyperboliques de lois de conservation
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Publication:4288859
DOI10.24033/msmf.370zbMath0807.35090OpenAlexW13186068MaRDI QIDQ4288859
Publication date: 26 May 1994
Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=MSMF_1994_2_56__1_0
entropymagnetohydrodynamicsglobal hyperbolicitynonlinear electromagnetismelastic cableelectrophoresegas dynamics in Euler and Lagrange coordinates
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Cites Work
- Domaines invariants pour les systèmes hyperboliques de lois de conservation. (Invariant domains for hyperbolic systems of the conservation law)
- Generalized characteristics in hyperbolic systems of conservation laws
- A topological degree for orbits connecting critical points of autonomous systems
- Rotational degeneracy of hyperbolic systems of conservation laws
- Existence in the large for quasilinear hyperbolic conservation laws
- Normal connection in the geometry of normalized submanifolds of affine space
- Admissible wave fans in nonlinear hyperbolic systems
- Stable viscosity matrices for systems of conservation laws
- Convergence of approximate solutions to conservation laws
- The validity of nonlinear geometric optics for weak solutions of conservation laws
- La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
- Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
- Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
- Cubic form theorem for affine immersions
- A system of non-strictly hyperbolic conservation laws arising in elasticity theory
- Solutions in the large for the nonlinear hyperbolic conservation laws of gas dynamics
- Nonlinear oscillations of hyperbolic systems: Methods and qualitative results
- Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space
- Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure
- The Riemann problem for general systems of conservation laws
- Decay of solutions of hyperbolic systems of conservation laws with a convex extension
- Existence and uniqueness of entropy solutions to the Riemann problem for hyperbolic systems of two nonlinear conservation laws
- The deterministic version of the Glimm scheme
- Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
- Systems of conservation laws of mixed type
- Systèmes d'EDO invariants sous l'action de systèmes hyperboliques d'EDP. (Invariant systems of ODE's under the action of hyperbolic systems of PDE's)
- Plane waves in nonlinear electromagnetism
- The rate of total entropy generation for Riemann problems
- Quasilinear hyperbolic systems with involutions
- Measure-valued solutions to conservation laws
- Thermodynamic restrictions on the constitutive equations of electromagnetic theory
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
- Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
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