Email this article Conic Lagrangian Varieties and Localized Asymptotic Solutions of Linearized Equations of Relativistic Gas Dynamics
- Authors: Allilueva A.I.1,2,3, Shafarevich A.I.1,2,3,4
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Affiliations:
- Institute for Problems in Mechanics
- Moscow Institute of Physics and Technology
- National Research Centre “Kurchatov Institute”
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Issue: Vol 24, No 6 (2019)
- Pages: 671-681
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/219405
- DOI: https://doi.org/10.1134/S1560354719060066
- ID: 219405
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Abstract
We study asymptotic solution of the Cauchy problem for the linearized system of relativistic gas dynamics. We assume that initial condiditiopns are strongly localized near a space-like surface in the Minkowsky space. We prove that the solution can be decomposed into three modes, corresponding to different routsb of the equations of characteristics. One of these roots is twice degenerate and the there are no focal points in the corresponding miode. The other two roots are simple; in order to describe the corresponding modes, we use the modificication of the Maslov’s canonical operator which was obtained recently.
About the authors
Anna I. Allilueva
Institute for Problems in Mechanics; Moscow Institute of Physics and Technology; National Research Centre “Kurchatov Institute”
Author for correspondence.
Email: esina_anna@list.ru
Russian Federation, pr. Vernadskogo 101-1, Moscow, 119526; Institutskii per. 9, Dolgoprudnyi, 141700; pl. Akademika Kurchatova 1, Moscow, 123182
Andrei I. Shafarevich
Institute for Problems in Mechanics; Moscow Institute of Physics and Technology; National Research Centre “Kurchatov Institute”; M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Author for correspondence.
Email: shafarev@yahoo.com
Russian Federation, pr. Vernadskogo 101-1, Moscow, 119526; Institutskii per. 9, Dolgoprudnyi, 141700; pl. Akademika Kurchatova 1, Moscow, 123182; Leninskie Gory 1, Moscow, 119991
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