N. A. Kucher, A. E. Mamontov, D. A. Prokudin, “Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 6,Pages <nobr>1338

This article is cited in 17 papers

Stationary solutions to the equations of dynamics of mixtures of heat-conductive compressible viscous fluids

N. A. Kucher^a, A. E. Mamontov^b, D. A. Prokudin^a

^a Kemerovo State University, Kemerovo, Russia
^b Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia

Abstract: We consider the equations describing the three-dimensional steady motions of binary mixtures of heat-conductive compressible viscous fluids. An existence theorem for the boundary value problem that corresponds to flows in a bounded domain is proved in the class of weak generalized solutions.

Keywords: boundary value problem, dynamics of mixtures, Navier–Stokes equations, weak solutions.

UDC: 517.9

Received: 30.09.2011
Revised: 21.06.2012