A nonlinear energy stability analysis of the onset of convection for fluids with viscosity convex nonincreasing function of temperature, is performed. It is shown that condition assuring linear stability, assures nonlinear (conditional) asymptotic stability too.
Nonlinear stability analysis of the Bènard problem for fluids with convex nonincreasing temperature depending viscosity / Capone, Florinda; Gentile, Maurizio. - In: CONTINUUM MECHANICS AND THERMODYNAMICS. - ISSN 0935-1175. - STAMPA. - 7:3(1995), pp. 297-309. [10.1007/BF01176290]