Geodesic
Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1490-1498

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The asymptotic behavior (as $t\rightarrow +\infty$) of the solution to the initial-boundary value problem is analyzed for the system of differential equations describing the barotropic dynamics of a viscous  multifluid with a non-diagonal, symmetric and positive definite viscosity matrix, in the case of one spatial variable. New a priori estimates are obtained and stabilization of the solution to the initial-boundary value problem is proved.
Keywords: barotropic flow, viscosity matrix, stabilization of solution.
Mots-clés : viscous compressible multifluid 
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     author = {A. E. Mamontov and D. A. Prokudin},
     title = {Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     publisher = {mathdoc},
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     number = {2},
     year = {2023},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a49/}
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A. E. Mamontov; D. A. Prokudin. Stationary solutions of a boundary value problem for equations of barotropic flow of multicomponent media. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1490-1498. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a49/