On the energy functional for nonlinear stability of the classic Bénard problem
Nonlinear stability of motionless state of the classical Bénard problem in case of stress-free boundaries is studied for 2-dimensional disturbances, by the Liapunov’s second method. For Rayleigh number smaller than 27π^4 /4 the motionless state is proved to be unconditionally and exponentially stabl...
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Format: | Article |
Language: | English |
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Università degli Studi di Catania
2006-11-01
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Series: | Le Matematiche |
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Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/128 |