Asymptotic analysis of contact discontinuities

DOI10.1007/BF01783467zbMath0937.35101OpenAlexW2064085229MaRDI QIDQ1817927

Andrea Corli

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01783467

zbMATH Keywords

rapidly oscillating perturbation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (5)

Nonlinear geometric optics for contact discontinuities and shock waves in one-dimensional Euler system for gas dynamics ⋮ Stability of contact discontinuities under perturbations of bounded variation ⋮ On Compressible and Incompressible Vortex Sheets ⋮ Reflexions d'oscillations monodimensionnelles ⋮ Resonant Leading Order Geometric Optics Expansions for Quasilinear Hyperbolic Fixed and Free Boundary Problems

Cites Work

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• Sufficient conditions for local existence via Glimm's scheme for large BV data
• Nonlinear oscillations of hyperbolic systems: Methods and qualitative results
• Solutions analytic in time are not dense
• Solitary waves generated by the interaction of oscillating nonlinear waves
• Resonant one dimensional nonlinear geometric optics
• Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
• Elementary Wave Solutions of the Equations Describing the Motion of an Elastic String
• A Convergent Series Expansion for Hyperbolic Systems of Conservation Laws
• The stability of multidimensional shock fronts

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