Asymptotic behaviour for a phase-field system with hysteresis

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:175

Article

Krejcí, P ; Sprekels, J ; Zheng, SM

关键词: phase-field systems;    phase transitions;    hysteresis operators;    asymptotic behaviour;   

DOI  :  10.1006/jdeq.2001.3950

来源: Elsevier

【 摘 要 】

The method of hysteresis operators in modelling phase transitions is applied here to the problem of asymptotic stabilization of solutions to a phase-field system with hysteresis. While it is known that a unique global strong solution exists for every initial data and that the evolution process described by this system is thermodynamically consistent in the sense that the absolute temperature remains positive for alt times and the Clausius-Duhem inequality holds almost everywhere, we study here the asymptotic behaviour of the solution as t --> infinity. (C) 2001 Academic Press.

【 授权许可】

Free