Title of article :
Asymptotic Stability of Some Nonlinear
Boltzmann-Type Equations1
Author/Authors :
Andrzej Lasota, Michael C. Mackey، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
generalized version of the Tjon–Wu equation is considered. It describes the
evolution of the energy distribution in a model of gas in which simultaneous collisions
of many particles are permitted. Using the technique of Zolotarev metrics we
show that the stationary solution is exponentially stable
Keywords :
Zolotarev metrics , nonlinear Markov operator , weak convergence of measures , asymptotic stability , Boltzmann equation
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications