Geodesic
Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 547-590

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We consider the initial-boundary value problem which describes unsteady motions of a viscous compressible heat-conducting multifluid in a bounded three-dimensional domain. Viscosity matrices which characterize viscous friction inside and between the multifluid constituents are supposed to have a general form (except the requirement of positive definiteness). The regularized boundary value problem is formulated and its global solvability is proved.
Keywords: global existence theorem, unsteady boundary value problem, three-dimensional flow, homogeneous mixture with multiple velocities and one temperature, heat-conductive fluid.
Mots-clés : viscous compressible fluid 
@article{SEMR_2019_16_a84,
     author = {A. E. Mamontov and D. A. Prokudin},
     title = {Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible  heat-conductive multifluid},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {547--590},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a84/}
}
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A. E. Mamontov; D. A. Prokudin. Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible  heat-conductive multifluid. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 547-590. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a84/