Conic Lagrangian varieties and localized asymptotic solutions of linearized equations of relativistic gas dynamics

DOI10.1134/S1560354719060066zbMath1435.35020OpenAlexW2995913390WikidataQ126594019 ScholiaQ126594019MaRDI QIDQ2297606

Andrej I. Shafarevich, Anna I. Allilueva

Publication date: 20 February 2020

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

Full work available at URL: https://doi.org/10.1134/s1560354719060066

zbMATH Keywords

relativistic gas dynamicsMaslov's canonical operatorconic Lagrangian varieties

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Lagrangian submanifolds; Maslov index (53D12) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Analogue of Maslov's canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems
• Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics
• Maslov's canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems
• Ovsyannikov vortex in relativistic hydrodynamics
• Short-wave asymptotic solutions of a linearized system of relativistic gas dynamics
• Quantal phase factors accompanying adiabatic changes
• Unnamed Item

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