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Algebra i Analiz, 2018, Volume 30, Issue 2, Pages 274–317 (Mi aa1589)  

Research Papers

On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface

V. A. Solonnikov

St. Petersburg branch, Steklov Mathematical Institute, 27 Fontanka, 191023, St. Petersburg, Russia

Abstract: 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.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00099
Supported by RFBR (grant № 17-01-00099).


Full text: PDF file (396 kB)
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Document Type: Article
Received: 30.08.2017
Language: English

Citation: 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, 30:2 (2018), 274–317

Citation in format AMSBIB
\Bibitem{Sol18}
\by V.~A.~Solonnikov
\paper On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a~free interface
\jour Algebra i Analiz
\yr 2018
\vol 30
\issue 2
\pages 274--317
\mathnet{http://mi.mathnet.ru/aa1589}
\elib{http://elibrary.ru/item.asp?id=32469635}


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