On the Nonlinear Stability of the Magnetic Bénard Problem with Rotation

1993 ◽  
Vol 73 (1) ◽  
pp. 35-45 ◽  
Author(s):  
G. Mulone ◽  
S. Rionero
Keyword(s):  
Nonlinear Stability ◽  
Bénard Problem ◽  
Benard Problem

A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem

1985 ◽  
Vol 402 (1823) ◽  
pp. 257-283 ◽  
Keyword(s):  
Prandtl Number ◽  
Nonlinear Analysis ◽  
Nonlinear Stability ◽  
Close Agreement ◽  
Stability Boundary ◽  
Stabilizing Effect ◽  
Bénard Problem ◽  
Benard Problem

This paper uses a novel ‘generalized energy’ to study the stabilizing effect of rotation in the Bénard problem. The nonlinear stability boundary we find is in very close agreement with the experiments of Rossby (Rossby, H. T. J . Fluid Mech . 36, 309–335 (1969)), who predicts sub-critical instabilities for high Taylor numbers for fluids with Prandtl number greater than or equal to 1, such as water.

Nonlinear stability of the viscoelastic Bénard problem

Nonlinearity ◽  
2020 ◽  
Vol 33 (4) ◽  
pp. 1677-1704
Author(s):  
Fei Jiang ◽  
Mengmeng Liu
Keyword(s):  
Nonlinear Stability ◽  
Bénard Problem ◽  
Benard Problem
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