Geodesic
Solubility of unsteady equations of the three-dimensional motion of two-component
Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 755-812

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We consider equations for the three-dimensional unsteady motion of mixtures of viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the existence, globally in time and the input data, of a generalized (dissipative) solution of the initial-boundary value problem corresponding to flows in a bounded domain.
Keywords: global existence theorem, unsteady boundary-value problem, viscous compressible heat-conducting fluid, homogeneous mixture with multiple velocities, multidimensional flow. 
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     author = {A. E. Mamontov and D. A. Prokudin},
     title = {Solubility of unsteady equations of the three-dimensional motion of two-component},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a6/}
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A. E. Mamontov; D. A. Prokudin. Solubility of unsteady equations of the three-dimensional motion of two-component. Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 755-812. http://geodesic.mathdoc.fr/item/IM2_2021_85_4_a6/