Our aim in this paper is to study, in term of finite dimensional exponential attractors, the Willmore regularization, (depending on a small regularization parameter epsilon >0), of two phase-field equations, namely, the Allen–Cahn and the Cahn–Hilliard equations. In both cases, we construct robust families of exponential attractors, that is, attractors that are continuous with respect to the perturbation parameter.
Robust family of exponential attractors for isotropic crystal models / Cherfils, Laurence; Gatti, Stefania. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - ELETTRONICO. - 39:7(2016), pp. 1705-1729. [10.1002/mma.3597]
Robust family of exponential attractors for isotropic crystal models
GATTI, Stefania
2016
Abstract
Our aim in this paper is to study, in term of finite dimensional exponential attractors, the Willmore regularization, (depending on a small regularization parameter epsilon >0), of two phase-field equations, namely, the Allen–Cahn and the Cahn–Hilliard equations. In both cases, we construct robust families of exponential attractors, that is, attractors that are continuous with respect to the perturbation parameter.File | Dimensione | Formato | |
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