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SM ISO690:2012 BICHIR, Cătălin-Liviu, GEORGESCU, Adelina, PALESE, Lidia. A nonlinear hydrodynamic stability criterion derived by a generalized energy method. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2005, nr. 1(47), pp. 85-91. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(47) / 2005 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 85-91 | ||||||
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By applying a new variant of the A. Georgescu – L. Palese – A. Redaelli (G-P-R) method [8], based on the symmetrization of a linear operator, we deduce a nonlinear stability criterion of a state of thermal conduction of a horizontal fluid layer
subject to a vertical upwards uniform magnetic field and a vertical upwards constant
temperature gradient. The Boussinesq approximation is used. The upper and lower
surfaces of the layer are two rigid walls. It is assumed that the magnetic Prandtl
number is strictly greater than unity. |
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Cuvinte-cheie Nonlinear stability, Hydrodynamic, Magnetic Benard problem. |
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