Stochastic dynamics and Boltzmann hierarchy. III

• Datum: 1998
• Hauptverfasser: Petrina, D. Ya., Petrina, К. D., Петрина, Д. Я., Петрина, К. Д.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4925
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Stochastic dynamics corresponding to the Boltzmann hierarchy is constructed. The Liouville-Itô equations are obtained, from which we derive the Boltzmann hierarchy regarded as an abstract evolution equation. We construct the semigroup of evolution operators and prove the existence of solutions of th...