Geodesic
Robust exponential attractors for singularly perturbed phase-field type equations
Electronic journal of differential equations, Tome 2002 (2002)
In this article, we construct robust (i.e. lower and upper semicontinuous) exponential attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates for the symmetric distance between these exponential attractors and that of the limit Cahn-Hilliard equation in terms of the perturbation parameter. We can note that the continuity is obtained without time shifts as it is the case in previous results.
Classification : 35B40, 35B45
Keywords: phase-field equations, exponential attractors, upper and lower semicontinuity 
@article{EJDE_2002__2002__a38,
     author = {Miranville,  Alain and Zelik,  Sergey},
     title = {Robust exponential attractors for singularly perturbed phase-field type equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1004.35024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a38/}
}
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%A Zelik,  Sergey
%T Robust exponential attractors for singularly perturbed phase-field type equations
%J Electronic journal of differential equations
%D 2002
%V 2002
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Miranville,  Alain; Zelik,  Sergey. Robust exponential attractors for singularly perturbed phase-field type equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a38/