Geodesic
On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a~free interface
Algebra i analiz, Tome 30 (2018) no. 2, pp. 274-317.

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The model problem under study concerns the evolution of two viscous capillary fluids of different types: compressible and incompressible, contained in a bounded vessel and separated by a free interface. The solution is estimated in the Sobolev–Slobodetskiǐ function spaces; these estimates can be useful for the proof of stability for the rest state.
Keywords: compressible and incompressible fluids, free boundary, Sobolev–Slobodetskiǐ spaces. 
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V. A. Solonnikov. On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a~free interface. Algebra i analiz, Tome 30 (2018) no. 2, pp. 274-317. http://geodesic.mathdoc.fr/item/AA_2018_30_2_a11/

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