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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 48–63 (Mi timm999)  
This article is cited in 4 scientific papers (total in 4 papers)

Some solutions of continuum equations for an incompressible viscous fluid

V. P. Vereshchaginab, Yu. N. Subbotinb, N. I. Chernykhb

a Russian State Professional Pedagogical University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (220 kB) Citations (4)
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Abstract: We consider the Navier–Stokes equations for an incompressible fluid that at any specific instant $t\ge 0$ fills an open axially symmetric cylindric layer $D$. We find solutions of these equations in the class of motions described by velocity fields whose lines for $t\ge 0$ coincide with their vortex lines and lie on axially symmetric cylindric surfaces in $D$.
Keywords: scalar fields; vector fields; tensor fields; curl; Navier-Stokes equation; Stokes equation.
Received: 29.03.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 208–223
DOI: https://doi.org/10.1134/S008154381409020X
Bibliographic databases:
Document Type: Article
UDC: 514.17; 532.5
Language: Russian
Citation: V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Some solutions of continuum equations for an incompressible viscous fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 48–63; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 208–223
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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