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Maximal attractors for the phase-field equations of penrose-fife type
Authors:Weixi Shen
Affiliation:

Department of Mathematics, Fudan University, Shanghai 200433, P.R. China

Institute of Mathematics, Fudan University, Shanghai 200433, P.R. China

Abstract:In this paper, the dynamics for the phase-field equations of Penrose-Fife type arising from the study of phase transitions is investigated. One of important features of this problem is that the metric space H we work with is incomplete.
Keywords:Maximal attractor   The phase-field equations   Incomplete metric space   Absorbing set   Infinite-dimensional dynamical system
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