Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems

DOI10.4171/RMI/546zbMath1156.35308MaRDI QIDQ951988

Stéphane Junca

Publication date: 5 November 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1218475353

zbMATH Keywords

interpolationenergy estimatesnonlinear geometric opticshigh frequency oscillationsweakly coupled parabolic systems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic systems (35K45)

Related Items (1)

Highly oscillatory waves in quasilinear hyperbolic-parabolic coupled equations

Cites Work

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• Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
• Resonant reflection of multidimensional semilinear oscillations
• Reflexions d'oscillations monodimensionnelles
• Long wave asymptotics. Integrable equations as asymptotic limits of non-linear systems

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