J. G. Batisheva, “The dynamics of bаll-shaped partiсle with nonuniform surface in the rarefied gas”, Keldysh Institute preprints, 2015,106, 22 pp.

The dynamics of bаll-shaped partiсle with nonuniform surface in the rarefied gas

J. G. Batisheva

Abstract: The model of ball-shaped partiсle with nonuniform active surface in the rarefied gas is constructed. The features of appropriate dynamical system are established. The lemma on the properties of high-dimension ODE is proved. This lemma is an important step, providing an opportunity to find solution corresponding to various types of asymptotic of the partiсle motion.

Keywords: solid paticle dynamics, rarefied gas, nonuniform active surface, ODE, invariant sets, asymptotic properties, asymptotically stable trajectory.