Otteniamo un risultato di stabilità non lineare incondizionata per il problema della convezione termica di un fluido dielettrico soggetto ad una corrente alternata (AC). È particolarmente importante osservare che la grandezza iniziale dell'energia rispetto a cui stabiliamo il risultato di stabilità non lineare globale non ha restrizioni e i numeri critici di Rayleigh-Roberts ottenuti coincidono con quelli trovati con l'analisi formale della instabilità lineare.
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Con il contributo del Ministero per i Beni e le Attività Culturali