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Solution to a Linearized System of Two-Dimensional Dynamics of Viscous Gasстатья
- Авторы: Kornev A.A., Nazarov V.S.
- Журнал: Moscow University Mathematics Bulletin
- Том: 77
- Номер: 5
- Год издания: 2022
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 209
- Последняя страница: 216
- Аннотация: A linear system of partial differential equations approximately describing the dynamics of small perturbations of a nonstationary viscous barotropic gas in a neighborhood of the steadystate is considered in the paper. Analytic formulas for the solution are obtained for initial conditions of special type, and the asymptotics of the rate of convergence to the stationary solution is studied. Similar assertions are proved for a finite-difference approximation of the original problem constructed on grids of Lebedev. In addition, the presence of analytical formulas for the solution allows explaining why a perturbation of velocity jump type decreased significantly better than that for a pressure jump. The results form a basis for studying the problem of asymptotic stabilization of solutions to two-dimensional equations of gas dynamics with dissipation terms.
- Добавил в систему: Корнев Андрей Алексеевич