19 citations · 40 across the 5 of their papers we have counts for
5 papers
Global unique solvability of the initial-boundary value problem for the equations of one-dimensional polytropic flows of viscous compressible multifluids
Alexander Mamontov, Dmitriy Prokudin
We consider the equations which describe polytropic one-dimensional flows of viscous compressible multifluids. We prove global existence and uniqueness of a solution to the initial…
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…