11 citations · 26 across the 6 of their papers we have counts for
6 papers
Mixtures of nonhomogeneous viscoelastic incompressible fluids governed by the Kelvin-Voigt equations
S. N. Antontsev, H. B. de Oliveira, I. V. Kuznetsov +2
An initial-and boundary-value problem for the Kelvin-Voigt system, modeling a mixture of n incompressible and viscoelastic fluids, with non-constant density, is investigated in thi…
Global solvability of the initial boundary value problem for a model system of one-dimensional equations of polytropic flows of viscous compressible fluid mixtures
Dmitriy Prokudin
We consider the initial boundary value problem for a model system of one-dimensional equations which describe unsteady polytropic motions of a mixture of viscous compressible fluid…
Solvability of a steady boundary-value problem for the equations of one-temperature viscous compressible heat-conducting bifluids
Alexander Mamontov, Dmitriy Prokudin
We consider a boundary-value problem describing the steady motion of a two-component mixture of viscous compressible heat-conducting fluids in a bounded domain. We make no simplify…
Global solvability of 1D equations of viscous compressible multi-fluids
Alexander Mamontov, Dmitriy Prokudin
We consider the model of viscous compressible multi-fluids with multiple velocities. We review different formulations of the model and the existence results for boundary value prob…
Modeling viscous compressible barotropic multi-fluid flows
Alexander Mamontov, Dmitriy Prokudin
We study the system of equations which describes barotropic (isentropic) flows of viscous compressible multi-fluids (mixtures of fluids). We study the relations between pressure, d…
Viscous compressible homogeneous multi-fluids with multiple velocities: barotropic existence theory
Alexander Mamontov, Dmitriy Prokudin
We consider the model of viscous compressible homogeneous multi-fluids with multiple velocities. We review different formulations of the model and the existence results for boundar…