Geodesic
Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible fluids
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 568-585

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The initial-boundary value problem is considered for a model system of one-dimensional equations describing unsteady polytropic motion of a mixture of viscous compressible fluids. The existence and uniqueness theorem is proved for a strong solution of the problem without restrictions on the structure of the viscosity matrices, except standard requirements of symmetry and positive definiteness.
Keywords: existence and uniqueness theorem, unsteady initial boundary value problem, mixture with multiple velocities.
Mots-clés : viscous compressible fluid 
@article{SEMR_2017_14_a90,
     author = {D. A. Prokudin},
     title = {Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible fluids},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {568--585},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a90/}
}
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D. A. Prokudin. Unique solvability of initial-boundary value problem for a model system of equations for the polytropic motion of a mixture of viscous compressible fluids. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 568-585. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a90/