Domaines invariants pour les systèmes hyperboliques de lois de conservation. (Invariant domains for hyperbolic systems of the conservation law)

DOI10.1016/0022-0396(87)90102-1zbMath0626.35061OpenAlexW2055947460MaRDI QIDQ580594

Denis Serre

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90102-1

zbMATH Keywords

weak solutionelasticityconservation lawinvariant domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65)

Related Items (11)

Kinetic formulation of the isentropic gas dynamics and \(p\)-systems ⋮ Géométrie des systèmes hyperboliques de lois de conservation ⋮ Invariant Domain Preserving High-Order Spectral Discontinuous Approximations of Hyperbolic Systems ⋮ A monotone diffusion scheme for 3D general meshes: application to radiation hydrodynamics in the equilibrium diffusion limit ⋮ Uniform boundedness in weak solutions to a specific dissipative system ⋮ Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows ⋮ Nonlinear oscillations of hyperbolic systems: Methods and qualitative results ⋮ \(L ^1\) convergence to the Barenblatt solution for compressible Euler equations with damping ⋮ Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations ⋮ Systèmes de lois de conservation et stabilité BV ⋮ Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Cites Work

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• Convergence of approximate solutions to conservation laws
• Estimates of solutions of the one-dimensional system of equations of gasdynamics with viscosity not depending on viscosity
• Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
• The Cauchy problem for some classes of quasi-linear parabolic equations
• Invariant Regions for Systems of Conservation Laws
• Estimates for Conservation Laws with Little Viscosity
• Systems of Conservation Laws with Invariant Submanifolds

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