The influence of rotation on the stability of the conduction solution (motionless state) for the Bénard problem in a porous medium - in a generalized Boussinesq-Brinkman-Darcy scheme for stress-free boundary conditions - is studied. By introducing a natural balance field and using a suitable Liapunov function, we obtain the coincidence between critical Rayleigh numbers of linear and nonlinear stability, for any Taylor and Darcy numbers, under computable condition on the initial data.
On the influence of rotation in convective instabilities in porous media / Capone, Florinda; Gentile, Maurizio. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - XLIX:2(2000), pp. 193-211.
On the influence of rotation in convective instabilities in porous media
CAPONE, FLORINDA;GENTILE, MAURIZIO
2000
Abstract
The influence of rotation on the stability of the conduction solution (motionless state) for the Bénard problem in a porous medium - in a generalized Boussinesq-Brinkman-Darcy scheme for stress-free boundary conditions - is studied. By introducing a natural balance field and using a suitable Liapunov function, we obtain the coincidence between critical Rayleigh numbers of linear and nonlinear stability, for any Taylor and Darcy numbers, under computable condition on the initial data.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
