Open AccessSolvability of a problem for the equations of dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids
Author(s) -
A. E. Mamontov,
Д. А. Прокудин
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524862159-162
Subject(s) - compressibility , bounded function , domain (mathematical analysis) , boundary value problem , generalization , partial differential equation , mathematical analysis , compressible flow , mathematics , flow (mathematics) , component (thermodynamics) , mechanics , heat equation , fourier transform , physics , thermodynamics
A system of partial differential equations governing the three-dimensional unsteady flow of a homogeneous two-component mixture of heat-conducting viscous compressible fluids (gases) is considered within the multivelocity approach. The model is complete in the sense that it retains all terms in the equations, which are a natural generalization of the Navier-Stokes-Fourier model for the motion of a single-component medium. The existence of weak solutions to the initial-boundary value problem describing the flow in a bounded domain is proved globally in time and the input data.