Il lavoro è suddiviso in due parti. La prima presenta un risultato recente dell'autore riguardante l'esistenza della soluzione dell'equazione di Boltzmann per molecole maxwelliane, senza alcun taglio nel nucleo del termine d'urto, quando la soluzione dipende da una sola variabile spaziale. A differenza del ben noto teorema di Di Perna-Lions, si dimostra che vale anche la conservazione dell'energia. La seconda parte presenta problemi di dinamica dei gas rarefatti, retti dall'equazione di Boltzmann riguardanti la teoria delle micromacchine (MEMS) e nanomacchine (NEMS).
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Con il contributo del Ministero per i Beni e le Attività Culturali