Computing, Telecommunication and Control Информатика, телекоммуникации и управление 2687-0517 12 On some properties of solutions of the boltzmann equation in the case of «soft» potentials О свойствах решений уравнения Больцмана для «мягких» потенциалов Firsov Andrey saiu@ftk.spbstu.ru 10 04 2011 2 120 78 80

It is shown, that in the case of «soft» potentials the Cauchy problem for the Boltzmann equation of the kinetic theory of gases permits, as opposed to the case of the «hard» potentials, the existence of «long living» initial perturbations.

 Boltzmann equation soft potentials initial perturbations asymptotic behavior of solutions