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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 19–31
DOI: https://doi.org/10.15372/PMTF20190202 (Mi pmtf456) 		 
Problem of a point source

V. V. Pukhnachevab

a Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (253 kB)
DOI: https://doi.org/10.15372/PMTF20190202
Abstract: Several problems of motion of a viscous incompressible fluid with a point source in the flow region are considered. The corresponding initial-boundary-value problems for the Navier–Stokes equations have no solutions in the standard class of functions because the flow velocity field contains an infinite Dirichlet integral. Problem regularization allows one to prove its solvability under certain constraints on the initial data.
Keywords: Navier–Stokes equations, point source.
Received: 21.09.2018
Revised: 21.09.2018
Accepted: 24.09.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 2, Pages 200–210
DOI: https://doi.org/10.1134/S0021894419020020
Bibliographic databases:
Document Type: Article
UDC: 532.516
Language: Russian
Citation: V. V. Pukhnachev, “Problem of a point source”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 19–31; J. Appl. Mech. Tech. Phys., 60:2 (2019), 200–210
Citation in format AMSBIB
\Bibitem{Puk19}
\by V.~V.~Pukhnachev
\paper Problem of a point source
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 2
\pages 19--31
\mathnet{http://mi.mathnet.ru/pmtf456}
\crossref{https://doi.org/10.15372/PMTF20190202}
\elib{https://elibrary.ru/item.asp?id=37248706}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 2
\pages 200--210
\crossref{https://doi.org/10.1134/S0021894419020020}
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