ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS TO A LANDAU-GINZBURG SYSTEM WITHVISCOSITY FOR MARTENSITIC PHASE-TRANSITIONS IN SHAPE-MEMORY ALLOYS

Authors
SPREKELS J ZHENG SM ZHU PC
Citation
J. Sprekels et al., ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS TO A LANDAU-GINZBURG SYSTEM WITHVISCOSITY FOR MARTENSITIC PHASE-TRANSITIONS IN SHAPE-MEMORY ALLOYS, SIAM journal on mathematical analysis, 29(1), 1998, pp. 69-84
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
29
Issue
1
Year of publication
1998
Pages
69 - 84
Database
ISI
SICI code
0036-1410(1998)29:1<69:AOTSTA>2.0.ZU;2-7
Abstract
In this paper, we investigate the system of partial differential equat ions governing the dynamics of martensitic phase transitions in shape memory alloys under the presence of a (possibly small) viscous stress. The corresponding free energy is assumed in Landau-Ginzburg form and nonconvex as a function of the order parameter. Results concerning the asymptotic behavior of the solution as time tends to infinity are pro ved, and the compactness of the orbit is shown.