Standard

Problem of a Point Source. / Pukhnachev, V. V.

In: Journal of Applied Mechanics and Technical Physics, Vol. 60, No. 2, 01.03.2019, p. 200-210.

Research output: Contribution to journal › Article › peer-review

Harvard

Pukhnachev, VV 2019, 'Problem of a Point Source', Journal of Applied Mechanics and Technical Physics, vol. 60, no. 2, pp. 200-210. https://doi.org/10.1134/S0021894419020020

APA

Pukhnachev, V. V. (2019). Problem of a Point Source. Journal of Applied Mechanics and Technical Physics, 60(2), 200-210. https://doi.org/10.1134/S0021894419020020

Vancouver

Pukhnachev VV. Problem of a Point Source. Journal of Applied Mechanics and Technical Physics. 2019 Mar 1;60(2):200-210. doi: 10.1134/S0021894419020020

Author

Pukhnachev, V. V. / Problem of a Point Source. In: Journal of Applied Mechanics and Technical Physics. 2019 ; Vol. 60, No. 2. pp. 200-210.

BibTeX

@article{3db5443917514695a653ed67d1fa2a17,
title = "Problem of a Point Source",
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",
author = "Pukhnachev, {V. V.}",
year = "2019",
month = mar,
day = "1",
doi = "10.1134/S0021894419020020",
language = "English",
volume = "60",
pages = "200--210",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

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