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Robust family of exponential attractors for isotropic crystal models
Author(s) -
Cherfils Laurence,
Gatti Stefania
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3597
Subject(s) - attractor , mathematics , exponential function , allen–cahn equation , regularization (linguistics) , perturbation (astronomy) , mathematical analysis , isotropy , cahn–hilliard equation , differential equation , physics , computer science , quantum mechanics , artificial intelligence
Our aim in this paper is to study, in term of finite dimensional exponential attractors, the Willmore regularization, (depending on a small regularization parameter β > 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. Copyright © 2015 John Wiley & Sons, Ltd.