A~nonlinear hydrodynamic stability criterion derived by a generalized energy method
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2005), pp. 85-90
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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.
@article{BASM_2005_1_a6,
author = {C\u{a}t\u{a}lin Liviu Bichir and Adelina Georgescu and Lidia Palese},
title = {A~nonlinear hydrodynamic stability criterion derived by a generalized energy method},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {85--90},
publisher = {mathdoc},
number = {1},
year = {2005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2005_1_a6/}
}
TY - JOUR AU - Cătălin Liviu Bichir AU - Adelina Georgescu AU - Lidia Palese TI - A~nonlinear hydrodynamic stability criterion derived by a generalized energy method JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2005 SP - 85 EP - 90 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2005_1_a6/ LA - en ID - BASM_2005_1_a6 ER -
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Cătălin Liviu Bichir; Adelina Georgescu; Lidia Palese. A~nonlinear hydrodynamic stability criterion derived by a generalized energy method. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2005), pp. 85-90. http://geodesic.mathdoc.fr/item/BASM_2005_1_a6/