Parametrix and Localized Solutions for Linearized Equations of Gas Dynamics

DOI10.1007/978-3-030-37326-9_1zbMath1502.35100OpenAlexW4205514148MaRDI QIDQ5051792

Andrej I. Shafarevich, Anna I. Allilueva

Publication date: 18 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-37326-9_1

zbMATH Keywords

localized solutionequations of gas dynamicsresolving operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Asymptotic expansions of solutions to PDEs (35C20) Fourier integral operators applied to PDEs (35S30)

Cites Work

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• Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics
• Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
• Double asymptotic expansion of the resolving operator of the Cauchy problem for the linearized system of gas dynamics

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