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Problem of a Point Source. / Pukhnachev, V. V.
в: Journal of Applied Mechanics and Technical Physics, Том 60, № 2, 01.03.2019, стр. 200-210.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Problem of a Point Source
AU - Pukhnachev, V. V.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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.
AB - 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.
KW - Navier-Stokes equations
KW - point source
UR - http://www.scopus.com/inward/record.url?scp=85066603687&partnerID=8YFLogxK
U2 - 10.1134/S0021894419020020
DO - 10.1134/S0021894419020020
M3 - Article
AN - SCOPUS:85066603687
VL - 60
SP - 200
EP - 210
JO - Journal of Applied Mechanics and Technical Physics
JF - Journal of Applied Mechanics and Technical Physics
SN - 0021-8944
IS - 2
ER -
ID: 20365948