Standard

New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side. / Urev, M. V.

In: Computational Mathematics and Mathematical Physics, Vol. 61, No. 12, 12.2021, p. 2129-2136.

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

Harvard

Urev, MV 2021, 'New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side', Computational Mathematics and Mathematical Physics, vol. 61, no. 12, pp. 2129-2136. https://doi.org/10.1134/S0965542521120149

APA

Urev, M. V. (2021). New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side. Computational Mathematics and Mathematical Physics, 61(12), 2129-2136. https://doi.org/10.1134/S0965542521120149

Vancouver

Urev MV. New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side. Computational Mathematics and Mathematical Physics. 2021 Dec;61(12):2129-2136. doi: 10.1134/S0965542521120149

Author

Urev, M. V. / New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side. In: Computational Mathematics and Mathematical Physics. 2021 ; Vol. 61, No. 12. pp. 2129-2136.

BibTeX

@article{765e62a46d2b488da81809e721bb27c0,
title = "New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side",
abstract = "The two-dimensional Stokes problem in a mixed variational statement in a bounded domain with a singular right-hand side given, in particular, by the delta function is considered using an extended scheme for an abstract mixed variational problem. Conditions are established under which a solvability and stability theorem for the solution of a generalized problem of this type is proved.",
keywords = "extended mixed statement, fractional Sobolev spaces, singular right-hand side, two-dimensional Stokes problem",
author = "Urev, {M. V.}",
note = "Funding Information: This study was supported by the Russian Foundation for Basic Research and the Novosibirsk oblast (project no. 20-41-540003) and was carried out within the ICM&MG SB RAS state contract. Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",
year = "2021",
month = dec,
doi = "10.1134/S0965542521120149",
language = "English",
volume = "61",
pages = "2129--2136",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "PLEIADES PUBLISHING INC",
number = "12",

}

RIS

TY - JOUR

T1 - New Mixed Variational Problem and the Stokes System with a Singular Right-Hand Side

AU - Urev, M. V.

N1 - Funding Information: This study was supported by the Russian Foundation for Basic Research and the Novosibirsk oblast (project no. 20-41-540003) and was carried out within the ICM&MG SB RAS state contract. Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/12

Y1 - 2021/12

N2 - The two-dimensional Stokes problem in a mixed variational statement in a bounded domain with a singular right-hand side given, in particular, by the delta function is considered using an extended scheme for an abstract mixed variational problem. Conditions are established under which a solvability and stability theorem for the solution of a generalized problem of this type is proved.

AB - The two-dimensional Stokes problem in a mixed variational statement in a bounded domain with a singular right-hand side given, in particular, by the delta function is considered using an extended scheme for an abstract mixed variational problem. Conditions are established under which a solvability and stability theorem for the solution of a generalized problem of this type is proved.

KW - extended mixed statement

KW - fractional Sobolev spaces

KW - singular right-hand side

KW - two-dimensional Stokes problem

UR - http://www.scopus.com/inward/record.url?scp=85122728558&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4063177b-1944-309f-b5d9-650289d9bcfc/

U2 - 10.1134/S0965542521120149

DO - 10.1134/S0965542521120149

M3 - Article

AN - SCOPUS:85122728558

VL - 61

SP - 2129

EP - 2136

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 12

ER -

ID: 35242929