Geodesic
Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 1, pp. 32-47

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We consider the equations of a multivelocity model of a binary mixture of viscous compressible fluids (the two-fluid medium) in the case of one-dimensional barotropic motions. We prove the time global existence and uniqueness of a strong solution to the initial-boundary value problem describing the motion in a bounded space domain.
Mots-clés : viscous compressible fluid, global existence
Keywords: binary mixture, multivelocity multifluid, initial-boundary value problem, uniqueness, strong solution. . 
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     author = {A. E. Mamontov and D. A. Prokudin},
     title = {Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {32--47},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2021_24_1_a2/}
}
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A. E. Mamontov; D. A. Prokudin. Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 1, pp. 32-47. http://geodesic.mathdoc.fr/item/SJIM_2021_24_1_a2/