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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 649–662 (Mi smj994)  
This article is cited in 24 scientific papers (total in 24 papers)

Existence of a nonstationary Poiseuille solution

V. Keblikas, K. Pileckas

Institute of Mathematics and Informatics
Full-text PDF (238 kB) Citations (24)
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Abstract: The nonstationary Poiseuille solution describing the flow of a viscous incompressible fluid in an infinite cylinder is defined as a solution of the inverse problem for the heat equation. The existence and uniqueness of such nonstationary Poiseuille solution with the prescribed flux $F(t)$ of the velocity field is studied. It is proved that under some compatibility conditions on the initial data and flux $F(t)$ the corresponding inverse problem has a unique solution in Holder spaces.
Keywords: Navier–Stokes equations, heat equation, inverse problem, integral equations, nonstationary Poiseuille solutions.
Received: 03.09.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 514–526
DOI: https://doi.org/10.1007/s11202-005-0053-7
Bibliographic databases:
UDC: 517.958:532.516.5
Language: Russian
Citation: V. Keblikas, K. Pileckas, “Existence of a nonstationary Poiseuille solution”, Sibirsk. Mat. Zh., 46:3 (2005), 649–662; Siberian Math. J., 46:3 (2005), 514–526
Citation in format AMSBIB
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\paper Existence of a nonstationary Poiseuille solution
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\pages 649--662
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\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 514--526
\crossref{https://doi.org/10.1007/s11202-005-0053-7}
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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