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Algebra i Analiz, 2018, Volume 30, Issue 2, Pages 274–317 (Mi aa1589)  
This article is cited in 3 scientific papers (total in 3 papers)

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
Full-text PDF (396 kB) Citations (3)
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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).
Received: 30.08.2017
English version:
St. Petersburg Mathematical Journal, 2019, Volume 30, Issue 2, Pages 347–377
DOI: https://doi.org/10.1090/spmj/1546
Bibliographic databases:
Document Type: Article
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; St. Petersburg Math. J., 30:2 (2019), 347–377
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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