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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2011 Volume 75, Issue 6, Pages 99–128 (Mi im4562)

This article is cited in 1 paper

The three-dimensional stationary flow problem at small Reynolds numbers

L. I. Sazonovab

a Southern Federal University
b South Mathematical Institute of VSC RAS

Abstract: We study the problem of finding convergent series representations of solutions of exterior problems for the stationary Navier–Stokes system at small Reynolds numbers $\operatorname{Re}$. Our approach enables us to treat some cases of boundary conditions that increase as $\operatorname{Re}\to 0$.

Keywords: stationary Navier–Stokes system, exterior domain, hydrodynamical potentials, resistance force.

UDC: 517.95

MSC: 34E15, 35J15, 35Q35, 47N20, 76D07, 76M45

Received: 28.03.2010

DOI: 10.4213/im4562


 English version:
Izvestiya: Mathematics, 2011, 75:6, 1185–1214

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