This article is cited in 1 paper

Problem of a point source

V. V. Pukhnachev<sup>ab

a</sup> Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Novosibirsk State University, Novosibirsk, 630090, Russia

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.

UDC: 532.516

Received: 21.09.2018
Revised: 21.09.2018
Accepted: 24.09.2018

DOI: 10.15372/PMTF20190202

 English version: Journal of Applied Mechanics and Technical Physics, 2019, 60:2, 200–210

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