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Contemporary Mathematics. Fundamental Directions, 2013, Volume 48, Pages 75–83 (Mi cmfd240)  
This article is cited in 2 scientific papers (total in 2 papers)

Homogenization of stratified dilatant fluid

A. Yu. Linkevicha, S. V. Spiridonovb, G. A. Chechkinba

a Narvick University College, Narvick, Norway
b Differential Equations Department, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (133 kB) Citations (2)
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Abstract: In this paper we study the behavior of the stationary magnetic hydrodynamical boundary layer of a dilatant fluid flowing through a porous obstacle. We consider a family of boundary value problems with a small parameter where micro-inhomogeneities are concentrated on the boundary of the domain (the original velocity profile depends on a small parameter). We construct an averaged problem and prove convergence of the solution of the original problem to that of the averaged one. Thus we describe the effective behavior of the micro-inhomogeneous fluid.
English version:
Journal of Mathematical Sciences, 2014, Volume 202, Issue 6, Pages 849–858
DOI: https://doi.org/10.1007/s10958-014-2081-y
Bibliographic databases:
Document Type: Article
UDC: 517.956.4+517.957
Language: Russian
Citation: A. Yu. Linkevich, S. V. Spiridonov, G. A. Chechkin, “Homogenization of stratified dilatant fluid”, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 4, CMFD, 48, PFUR, M., 2013, 75–83; Journal of Mathematical Sciences, 202:6 (2014), 849–858
Citation in format AMSBIB
\Bibitem{LinSpiChe13}
\by A.~Yu.~Linkevich, S.~V.~Spiridonov, G.~A.~Chechkin
\paper Homogenization of stratified dilatant fluid
\inbook Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2011). Part~4
\serial CMFD
\yr 2013
\vol 48
\pages 75--83
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd240}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 202
\issue 6
\pages 849--858
\crossref{https://doi.org/10.1007/s10958-014-2081-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919917876}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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