Email this article Double Asymptotic Expansion of the Resolving Operator of the Cauchy Problem for the Linearized System of Gas Dynamics
- Authors: Allilueva A.I.1,2,3, Shafarevich A.I.1,2,3,4
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Affiliations:
- Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- National Research Center “Kurchatov Institute”
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- Issue: Vol 99, No 1 (2019)
- Pages: 16-19
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225611
- DOI: https://doi.org/10.1134/S106456241901006X
- ID: 225611
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Abstract
A double asymptotic expansion (with respect to smoothness and low viscosity) of the resolving operator of the Cauchy problem for the linearized system of gas dynamics is obtained. Estimates for the summands and the remainder are derived in the Sobolev scale. Hydrodynamic and acoustic modes are explicitly described.
About the authors
A. I. Allilueva
Ishlinskii Institute for Problems in Mechanics,Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University); National Research Center “Kurchatov Institute”
Email: shafarev@yahoo.com
Russian Federation, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 123182
A. I. Shafarevich
Ishlinskii Institute for Problems in Mechanics,Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University); National Research Center “Kurchatov Institute”; Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Author for correspondence.
Email: shafarev@yahoo.com
Russian Federation, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 123182; Moscow, 119991
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