Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions | Zendy

Miranville A. | Zendy; Zelik S. | Zendy

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Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions

Author(s) -

Miranville A.,

Zelik S.

Publication year - 2005

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.590

Subject(s) - mathematics , cahn–hilliard equation , uniqueness , attractor , boundary (topology) , mathematical analysis , boundary value problem , exponential function , parabolic partial differential equation , partial differential equation

We consider in this article the Cahn–Hilliard equation endowed with dynamic boundary conditions. By interpreting these boundary conditions as a parabolic equation on the boundary and by considering a regularized problem, we obtain, by the Leray–Schauder principle, the existence and uniqueness of solutions. We then construct a robust family of exponential attractors. Copyright © 2005 John Wiley & Sons, Ltd.

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