Justification of nonlinear geometric optics for a system of conservation laws

DOI10.1215/S0012-7094-97-08710-XzbMath0914.35078OpenAlexW82307989MaRDI QIDQ1359250

Christophe Cheverry

Publication date: 24 June 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08710-x

zbMATH Keywords

asymptotic estimateglobal existence theorempropagation theorems

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometric optics (78A05)

Related Items (7)

Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws ⋮ Unnamed Item ⋮ The mathematical theory of low Mach number flows ⋮ On weakly nonlinear waves in media exhibiting mixed nonlinearity. ⋮ Global entropy solutions to weakly nonlinear gas dynamics ⋮ Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws ⋮ Systèmes de lois de conservation et stabilité BV

Cites Work

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• The validity of nonlinear geometric optics for weak solutions of conservation laws
• Global solutions of systems of conservation laws by wave-front tracking
• A nonlinear instability for \(3\times 3\) systems of conservation laws
• Resonant nonlinear geometric optics for weak solutions of conservation laws
• Fast singular limits of hyperbolic PDEs
• Resonant one dimensional nonlinear geometric optics
• Hyperbolic systems of conservation laws II
• Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
• Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
• A Canonical System of lntegrodifferential Equations Arising in Resonant Nonlinear Acoustics
• Some Explicit Resonating Waves in Weakly Nonlinear Gas Dynamics
• Coherent and focusing multidimensional nonlinear geometric optics
• The modulation equations of nonlinear geometric optics
• Solutions in the large for nonlinear hyperbolic systems of equations
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS

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