ATTRACTORS FOR A CAGINALP MODEL WITH A LOGARITHMIC POTENTIAL AND COUPLED DYNAMIC BOUNDARY CONDITIONS

被引：11
|
作者：
Conti, Monica [1 ]
Gatti, Stefania [2 ]
Miranville, Alain [3 ]
机构：
[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
[2] Univ Modena & Reggio Emilia, Dipartimento Matemat, I-41125 Modena, Italy
[3] Univ Poitiers, Lab Math & Applicat, SP2MI, CNRS,UMR 7348, F-86962 Futuroscope, France
来源：
ANALYSIS AND APPLICATIONS | 2013年 / 11卷 / 06期
关键词：
Caginalp equations; dynamic boundary conditions; logarithmic potential; global attractor; exponential attractor; CAHN-HILLIARD EQUATION; EXPONENTIAL ATTRACTORS; SINGULAR POTENTIALS; SPINODAL DECOMPOSITION; TIME BEHAVIOR; SYSTEM;
D O I：
10.1142/S0219530513500243
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the longtime behavior of the Caginalp phase-field model with a logarithmic potential and dynamic boundary conditions for both the order parameter and the temperature. Due to the possible lack of distributional solutions, we deal with a suitable definition of solutions based on variational inequalities, for which we prove well-posedness and the existence of global and exponential attractors with finite fractal dimension.
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页数：31
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