On quasi-stationary models of mixtures of compressible fluids

Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid

“…12 Точнее, это не операция, т. к. имеет разный смысл для разных величин, входящих в (5.3)-(5.5). 13 Заметим, что πω(z) ∈…”

“…МАМОНТОВ, Д.А. ПРОКУДИН начально-краевых задач для многомерной многоскоростной модели динамики смесей затрагивают либо баротропный случай [11], [12], [13], [19], [20], [21], [23], [27], [38], либо стационарный теплопроводный случай [18].…”

Viscous compressible multi-fluids: modeling and multi–D existence

“…In the papers [10] and [11] stationary Stokes system without convective terms is studied (solvability in 3D space, uniqueness under additional restrictions are proved). Quasi-stationary model (in 3D bounded domain, with special boundary conditions) is investigated in [12] (classic solutions are constructed). Complete model (no terms are omitted) in barotropic case is considered in [15] (in 3D bounded domain).…”

Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids

“…Related multi-velocity models are discussed in [7], [8], [9], [10], [11]. As the first results on the solvability of multifluid models in the multidimensional case (but in approximate formulations), we can indicate [12], [13], [14].…”