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Acceleration of the process of entering stationary mode for solutions of a linearized system of viscous gas dynamics. I. (English. Russian original) Zbl 1393.35191

Mosc. Univ. Math. Bull. 73, No. 1, 24-29 (2018); translation from Vestn. Mosk. Univ., Ser. I 73, No. 1, 26-32 (2018).
Summary: The problem of construction of control Dirichlet boundary conditions accelerating the convergence of the corresponding solution to its steady state for given initial conditions is studied for the linearized system of differential equations approximately describing the dynamics of viscous gas. The algorithm is described and estimates of convergence rate are presented for the differential case.

MSC:

35Q35 PDEs in connection with fluid mechanics
76N15 Gas dynamics (general theory)
76M20 Finite difference methods applied to problems in fluid mechanics
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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