Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2009-3pp.264-270

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O.N. Goncharova, "The modelling of microconvection in an infinite strip," J. Appl. Math. Mech. 73 (3), 264-270 (2009)
Year 2009 Volume 73 Issue 3 Pages 264-270
Title The modelling of microconvection in an infinite strip
Author(s) O.N. Goncharova (Barnaul, Russia, gon@alt.ru)
Abstract A model of the microconvection of an isothermally incompressible fluid, which can be used to investigate convection in weak force fields and on microscopic scales and can be characterized by non-solenoidality of the velocity field, is considered. An invariant solution in an infinite vertical strip occupied by a fluid is studied in the case where the heat flux on the two opposite faces of the strip fluctuates in antiphase. The use of the model of microconvection to construct an invariant solution gives rise to several non-standard-value initial-boundary problems. Their solvability in classes of Holder functions is proved.
Received 22 May 2007
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