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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 2, Pages 111–123
(Mi pmtf2363)
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This article is cited in 2 scientific papers (total in 2 papers)
Stability of steady-state shear jet flows of an ideal fluid with a free boundary in an azimuthal magnetic field against small long-wave perturbations
Yu. G. Gubarev Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract:
The problem of the linear stability of steady-state axisymmetric shear jet flows of a perfectly conducting inviscid incompressible fluid with a free surface in an azimuthal magnetic field is studied. The necessary and sufficient condition for the stability of these flows against small axisymmetric long-wave perturbations of special form is obtained by the direct Lyapunov method. It is shown that if this stability condition is not satisfied, the steady-state flows considered are unstable to arbitrary small axisymmetric long-wave perturbations. A priori exponential estimates are obtained for the growth of small perturbations. Examples are given of the steady-state flows and small perturbations imposed on them which evolve in time according to the estimates obtained.
Keywords:
jet shear flows, long-wave approximation, stability, direct Lyapunov method.
Received: 01.07.2003
Citation:
Yu. G. Gubarev, “Stability of steady-state shear jet flows of an ideal fluid with a free boundary in an azimuthal magnetic field against small long-wave perturbations”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004), 111–123; J. Appl. Mech. Tech. Phys., 45:2 (2004), 239–248
Linking options:
https://www.mathnet.ru/eng/pmtf2363 https://www.mathnet.ru/eng/pmtf/v45/i2/p111
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