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...

Full description

Bibliographic Details
Main Author: Lanxi Xu
Format: Article
Language:English
Published: Università degli Studi di Catania 2006-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/128