Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics

DOI10.1134/S1560354719010040zbMath1412.35060OpenAlexW2914202707MaRDI QIDQ1739582

Anna I. Allilueva, Andrej I. Shafarevich

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354719010040

zbMATH Keywords

Cauchy problemshort-wave asymptoticsrapidly oscillating initial datahydrodynamic modeMaslov canonic operatortwo acoustic modes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Lagrangian submanifolds; Maslov index (53D12)

Related Items

Parametrix and Localized Solutions for Linearized Equations of Gas Dynamics, Conic Lagrangian varieties and localized asymptotic solutions of linearized equations of relativistic gas dynamics, Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics

Cites Work

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• Asymptotic solutions of linearized Navier-Stokes equations localized in small neighborhoods of curves and surfaces
• Asymptotic solutions of linearized Navier-Stokes equations
• Nonstandard characteristics and localized asymptotic solutions of a linearized magnetohydrodynamic system with small viscosity and drag
• Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
• Instability criteria for the flow of an inviscid incompressible fluid