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Zbl 0828.35015
Dłotko, Tomasz
Global attractor for the Cahn-Hilliard equation in $H\sp 2$ and $H\sp 3$.
(English)
[J] J. Differ. Equations 113, No.2, 381-393 (1994). ISSN 0022-0396

This paper is concerned with the existence of global attractors for the following Cahn-Hilliard equation $u_t = - \varepsilon^2 \Delta^2u + \Delta (f(u))$, where $u$ is subject to no flux boundary condition and $f(u)$ is a polynomial of the order $2p - 1$. Results about the existence of global attractors in the spaces $H^2$ and $H^3$ are obtained.
[Zheng Songmu (Shanghai)]
MSC 2000:
*35B40 Asymptotic behavior of solutions of PDE
35K60 (Nonlinear) BVP for (non)linear parabolic equations

Keywords: global attractor; Cahn-Hilliard equation; no flux boundary condition

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