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Algebra i Analiz, 2015, Volume 27, Issue 3, Pages 238–271 (Mi aa1443)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval

V. A. Solonnikov

St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
Full-text PDF (369 kB) Citations (1)
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Abstract: The solution is estimated of the first boundary-value problem for the Navier–Stokes equations in the case of a compressible fluid in an infinite time interval; the solvability of the problem and the exponential decay of the solution as t→∞ are proved. The proof is based on the “free work” method due to Prof. M. Padula. It is shown that the method is applicable to the analysis of free boundary problems.
Keywords: Navier–Stokes equations, viscosity, anisotropic Sobolev–Slobodetski spaces.
Received: 02.12.2014
English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 3, Pages 523–546
DOI: https://doi.org/10.1090/spmj/1402
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. A. Solonnikov, “On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval”, Algebra i Analiz, 27:3 (2015), 238–271; St. Petersburg Math. J., 27:3 (2016), 523–546
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/aa1443
  • https://www.mathnet.ru/eng/aa/v27/i3/p238
    • This publication is cited in the following 1 articles:
    1. Stefan Doboszczak, Manil T. Mohan, Sivaguru S. Sritharan, “Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints”, EECT, 11:2 (2022), 347  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :95
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