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 -