Asymptotic behaviour for a phase-eld system with hysteresis

Pavel Krejjj, Jjrgen Sprekels, N G M U Zheng
The method of hysteresis operators in modelling phase transitions is applied here to the problem of asymptotic stabilization of solutions to a phase-eld 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 thermodynam-ically consistent in the sense that the absolute temperature remains positive f o r a l l times and the Clausius-Duhem inequality holds almost everywhere, we study
more » ... ywhere, we study here the asymptotic behaviour of the solution as t ! 1 .