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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 12, Pages 2125–2132
DOI: https://doi.org/10.31857/S0044466921120152 (Mi zvmmf11336) 		 
Mathematical physics

New mixed variational problem and the Stokes system with a singular right-hand side

M. V. Urevab

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia
b Novosibirsk State University, 630090, Novosibirsk, Russia
DOI: https://doi.org/10.31857/S0044466921120152
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.
Key words: two-dimensional Stokes problem, extended mixed statement, singular right-hand side, fractional Sobolev spaces.
Funding agency Grant number
Russian Foundation for Basic Research 20-41-540003
Ministry of Education and Science of the Russian Federation
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.
Received: 11.11.2020
Revised: 11.11.2020
Accepted: 04.08.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 12, Pages 2129–2136
DOI: https://doi.org/10.1134/S0965542521120149
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: M. V. Urev, “New mixed variational problem and the Stokes system with a singular right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021), 2125–2132; Comput. Math. Math. Phys., 61:12 (2021), 2129–2136
Citation in format AMSBIB
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