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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 79–88 (Mi pmtf1719)  
Conjugate shear flows of a weakly stratified fluid

A. Yu. Kazakov

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (238 kB)
Abstract: This paper studies the problem of pairs of horizontal shear flows of weakly stratified fluids with identical mass, momentum, and energy fluxes. The initial problem is reduced to a system of two scalar equations for the main- and perturbed-flow parameters by using bifurcation methods. The existence conditions for nontrivial branches of conjugate flows close to the main flow are investigated.
Keywords: conservation laws, internal waves, stratified fluid, conjugate flows, bifurcation of solutions of differential equations.
Received: 19.10.2007
Accepted: 29.12.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 2, Pages 235–242
DOI: https://doi.org/10.1007/s10808-009-0032-z
Bibliographic databases:
Document Type: Article
UDC: 532.592
Language: Russian
Citation: A. Yu. Kazakov, “Conjugate shear flows of a weakly stratified fluid”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 79–88; J. Appl. Mech. Tech. Phys., 50:2 (2009), 235–242
Citation in format AMSBIB
\Bibitem{Kaz09}
\by A.~Yu.~Kazakov
\paper Conjugate shear flows of a weakly stratified fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 2
\pages 79--88
\mathnet{http://mi.mathnet.ru/pmtf1719}
\elib{https://elibrary.ru/item.asp?id=11839331}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 2
\pages 235--242
\crossref{https://doi.org/10.1007/s10808-009-0032-z}
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