Averaging method for quasi-linear hyperbolic systems

DOI10.1134/s1061920823040118OpenAlexW4390201055MaRDI QIDQ6146928

V. B. Levenshtam

Publication date: 15 January 2024

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920823040118

zbMATH Keywords

two-scale expansionscomplete asymptotics of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• On the homogenization principle in a time-periodic problem for the Navier-Stokes equations with rapidly oscillating mass force
• An averaging theorem for nonlinear Schrödinger equations with small nonlinearities
• Higher-order approximations of the averaging method for parabolic initial-boundary value problems with rapidly oscillating coefficients
• Asymptotic integration of differential equations with large high-frequency terms
• HIGHER APPROXIMATIONS OF THE AVERAGING METHOD FOR ABSTRACT PARABOLIC EQUATIONS
• The influence of delays when averaging slow and fast oscillating systems: overview
• Krylov–Bogolyubov averaging
• Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes

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