Nonlinear stability of a convective motion in a porous layer driven by a horizontally periodic temperature gradient

Capone, F.; Rionero, S.
November 2003
Continuum Mechanics & Thermodynamics;Nov2003, Vol. 15 Issue 6, p529
Academic Journal
The nonlinear global exponential pointwise stability of a vertical steady flow driven by a horizontal periodic temperature gradient in a porous layer is performed. It is shown that the stability threshold depends on the supremum of a quadratic functional, having non constant coefficients, and new in the literature on the convection problem. In solving the variational problem, a suitable functional transformation is used.


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