Geodesic
Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem
Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 77-92

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The problem of steady barotropic motion of a multicomponent medium consisting of viscous compressible fluids in a bounded domain of three-dimensional space is formulated. The viscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized (approximate) problem is proved.
Keywords: existence theorem, steady barotropic flow, viscosity matrix.
Mots-clés : viscous compressible multifluid 
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     author = {A. E. Mamontov and D. A. Prokudin},
     title = {Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. {I.} {Statement} of the main problem. {Solvability} of an auxiliary problem},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {77--92},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a5/}
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A. E. Mamontov; D. A. Prokudin. Existence of solutions of the boundary value problem for the equations of barotropic flows of a multicomponent medium. I. Statement of the main problem. Solvability of an auxiliary problem. Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 77-92. http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a5/