Phase boundary solutions to model kinetic equations via the Conley index theory. Part I

Authors
Kazmierczak, B Piechor, K
Citation
B. Kazmierczak et K. Piechor, Phase boundary solutions to model kinetic equations via the Conley index theory. Part I, MATH COMP M, 31(13), 2000, pp. 77-92
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
31
Issue
13
Year of publication
2000
Pages
77 - 92
Database
ISI
SICI code
0895-7177(200006)31:13<77:PBSTMK>2.0.ZU;2-C
Abstract
In this paper, we consider phase boundary solutions to a four-velocity kine tic model of a kinetic equation governing the motion of van der Waals fluid s. These solutions connect such equilibrium states, which are saddle critic al points of the suitable dynamic system. Solutions of this type can be int erpreted as dynamic phase transition. The mathematical apparatus is that of the Coney index theory. (C) 2000 Elsevier Science Ltd. All rights reserved .