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Izvestiya: Mathematics, 2011, Volume 75, Issue 6, Pages 1185–1214
DOI: https://doi.org/10.1070/IM2011v075n06ABEH002569 (Mi im4562) 		 
This article is cited in 1 scientific paper (total 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
English version PDF (390 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM2011v075n06ABEH002569
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.
Received: 28.03.2010
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 6, Pages 99–128
DOI: https://doi.org/10.4213/im4562
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 34E15, 35J15, 35Q35, 47N20, 76D07, 76M45
Language: English
Original paper language: Russian
Citation: L. I. Sazonov, “The three-dimensional stationary flow problem at small Reynolds numbers”, Izv. RAN. Ser. Mat., 75:6 (2011), 99–128; Izv. Math., 75:6 (2011), 1185–1214
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v75/i6/p99
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:184
    English version PDF:10
    References:90
    First page:29
     
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