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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive
Sib. Zh. Ind. Mat., 2014 Volume 17, Number 3, Pages 26–39 (Mi sjim843)
This article is cited in 1 paper

On the solvability of the second boundary value problem for the Stokes system

L. N. Bondarab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider the second boundary value problem for the Stokes system in the half-space. We prove the theorem on the existence of a solution in Sobolev spaces.

Keywords: elliptic system, boundary value problem, Stokes system, Sobolev space.

UDC: 517.954

Received: 09.07.2014


 English version: Journal of Applied and Industrial Mathematics, 2014, 8:4, 479–492

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© Steklov Math. Inst. of RAS, 2024