DIFFUSIONAL PHASE-TRANSITIONS IN MULTICOMPONENT SYSTEMS WITH A CONCENTRATION-DEPENDENT MOBILITY MATRIX

Authors
ELLIOTT CM GARCKE H
Citation
Cm. Elliott et H. Garcke, DIFFUSIONAL PHASE-TRANSITIONS IN MULTICOMPONENT SYSTEMS WITH A CONCENTRATION-DEPENDENT MOBILITY MATRIX, Physica. D, 109(3-4), 1997, pp. 242-256
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
109
Issue
3-4
Year of publication
1997
Pages
242 - 256
Database
ISI
SICI code
0167-2789(1997)109:3-4<242:DPIMSW>2.0.ZU;2-I
Abstract
A model for phase separation in multicomponent systems is studied. In particular the possibility of a concentration dependence of the mobili ty matrix is taken into account. This leads to a system of fourth-orde r degenerate parabolic partial differential equations. We derive these equations from balance laws, show some properties of the model and pr ove a global existence result for the degenerate system.