Geodesic
Robust exponential attractors for singularly perturbed phase-field type equations
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Miranville, Alain and Zelik, Sergey},
     title = {Robust exponential attractors for singularly perturbed phase-field type equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a238/}
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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__a238/