ICM SB RAS Russian
Resources :: articles
about institute
structure
employees
academic council
technical base

researches
projects
e-archive

library
feedback
contact us
 

Relaxation Trajectories: Global approximation.

Gorban A. N., Karlin I. V.; Nonnenmacher T. F., Zmievskii V. B.
Physica A, 1996, 231, P.648–672.
Русское название: Траектории релаксации: глобальная аппроксимация

Download

Full text of the article [pdf, 814 Kb, in english]

Abstract

The paper intends to fill the gap of analytic approximate methods for non-linear space-independent dissipative systems equipped with the entropy functional. The key point of the analysis is an upper limiting state in the beginning of the relaxation. Extremal properties of this state are described and explicit estimations are derived. This limiting state is used to construct explicit approximations of the phase trajectories. Special attention is paid to accomplish positiv-ity, smoothness and the entropy growth along the approximate trajectories. The method is tested for the space-independent Boltzmann equation with various collisional mechanisms.