D. A. Prokudin, “On the stabilization of solutions to the initial-boundary value problem for the equations of dynamics of viscous compressible multicomponent media”, Sib. Èlektron. Mat. Izv., 2021, Volume 18, Issue 2,Pages <nobr>1278

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Differentical equations, dynamical systems and optimal control

On the stabilization of solutions to the initial-boundary value problem for the equations of dynamics of viscous compressible multicomponent media

D. A. Prokudin^ab

^a Lavrentyev Institute of Hydrodynamics SB RAS, 15, Lavrent'eva ave., 630090, Novosibirsk, Russia
^b Laboratory for Mathematical and Computer Modeling in Natural and Industrial Systems, Faculty of Mathematics & Information Technologies, Altai State University, 61, Lenina ave., Barnaul, 656049, Russia

Abstract: An initial-boundary value problem for one-dimensional equations of the dynamics of viscous compressible multicomponent media is considered, and the viscosity matrix is not assumed to be diagonal. The stabilization of the solution to the initial-boundary value problem with an unlimited increase of time is proved.

Keywords: compressible viscous medium, multicomponent flows, stabilization of solution.

UDC: 517.95

MSC: 35B40

Received October 8, 2021, published November 18, 2021

DOI: 10.33048/semi.2021.18.097