Enviar artigo por via de e-mail Double Asymptotic Expansion of the Resolving Operator of the Cauchy Problem for the Linearized System of Gas Dynamics
- Autores: Allilueva A.I.1,2,3, Shafarevich A.I.1,2,3,4
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Afiliações:
- 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
- Edição: Volume 99, Nº 1 (2019)
- Páginas: 16-19
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225611
- DOI: https://doi.org/10.1134/S106456241901006X
- ID: 225611
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Resumo
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.
Sobre autores
A. 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
Rússia, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 123182
A. 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
Autor responsável pela correspondência
Email: shafarev@yahoo.com
Rússia, Moscow, 119526; Dolgoprudnyi, Moscow oblast, 141700; Moscow, 123182; Moscow, 119991
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