Si applica il metodo diretto di Lyapunov allo studio della stabilità non lineare esponenziale della soluzione di conduzione-diffusione di una miscela fluida binaria riscaldata e salata da sotto, nello schema di Oberbeck-Boussinesq. Si considerano superfici rigide e stress-free ; si suppone che non ci sia biforcazione di Hopf. Supposto che il rapporto fra i numeri di Schmidt e di Prandtl è minore o uguale a 1, proviamo la coincidenza fra i parametri critici della stabilità lineare e non lineare. Si ottengono condizioni necessarie e sufficienti di stabilità non lineare esponenziale del moto base.
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