scholarly journals Long-time behaviour and convergence towards equilibria for a conserved phase field model

2003 ◽  
Vol 10 (1-2) ◽  
pp. 239-252
Author(s):  
Hana Petzeltová ◽  
Françoise Issard-Roch ◽  
Eduard Feireisl
Author(s):  
Ph. Laurençot

In this paper, we study a model of phase-field type for the kinetics of phase transitions which was considered by Halperin, Hohenberg and Ma and which includes the phase-field equations. We study the well-posedness of the corresponding initial boundary value problem in an open bounded subset in space dimension lower than or equal to 3 and prove that, under suitable conditions, the long-time behaviour of the solutions to this problem is described by a maximal attractor.


2001 ◽  
Vol 1 (1) ◽  
pp. 69-84 ◽  
Author(s):  
Sergiu Aizicovici ◽  
Eduard Feireisl

2016 ◽  
Author(s):  
Larry Kenneth Aagesen ◽  
Daniel Schwen

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