Geodesic
Solvability of a~steady boundary value problem for a~model system of equations of a~barotropic motion of a~mixture of viscous compressible fluids
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 3, pp. 55-67

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We consider a boundary value problem for a model system of equations describing a steady barotropic motion of a homogeneous mixture of viscous compressible fluids in a bounded three-dimensional domain. An existence theorem is proved for weak solutions to the problem without constraints on the structure of the total viscosity matrix except the standard requirements of positive definiteness.
Keywords: existence theorem, steady boundary value problem, homogeneous mixture with two velocities
Mots-clés : viscous compressible fluid, effective viscous flux. 
@article{SJIM_2016_19_3_a4,
     author = {D. A. Prokudin and M. V. Krayushkina},
     title = {Solvability of a~steady boundary value problem for a~model system of equations of a~barotropic motion of a~mixture of viscous compressible fluids},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {55--67},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2016_19_3_a4/}
}
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D. A. Prokudin; M. V. Krayushkina. Solvability of a~steady boundary value problem for a~model system of equations of a~barotropic motion of a~mixture of viscous compressible fluids. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 3, pp. 55-67. http://geodesic.mathdoc.fr/item/SJIM_2016_19_3_a4/