Asymptotic stability of Riemann solutions for a class of multidimensional systems of conservation laws with viscosity

DOI10.1007/s00205-006-0417-6zbMath1094.35076OpenAlexW2144863892MaRDI QIDQ2492915

Hermano Frid

Publication date: 15 June 2006

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-006-0417-6

zbMATH Keywords

conservation lawsRiemann invariantsRiemann solution\(L^\infty\) entropy solutionmultidimensional hyperbolic system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Asymptotic stability of Riemann solutions in BGK approximations to certain multidimensional systems of conservation laws ⋮ Convergence rate of the solution toward boundary layer solution for initial-boundary value problem of the 2-D viscous conservation laws

Cites Work

• Convergence of approximate solutions to conservation laws
• BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one
• Global existence for systems of parabolic conservation laws in several space variables
• Solutions à variations bornées pour certains systèmes hyperboliques de lois de conservation. (Solutions of bounded variations for certain hyperbolic systems of conservation laws)
• Large-time behavior of entropy solutions of conservation laws
• Divergence-measure fields and hyperbolic conservation laws
• Decay of entropy solutions of nonlinear conservation laws
• Existence and uniqueness of solutions for some hyperbolic systems of conservation laws
• Stability for Systems of Conservation Laws in Several Space Dimensions
• Systems of Conservation Laws with Invariant Submanifolds
• Stability of Godunov's Method for a Class of 2 × 2 Systems of Conservation Laws
• The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.
• Systems of Conservation Equations with a Convex Extension
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