On the hyperbolic relaxation of the one-dimensional Cahn-Hilliard equation

[摘要] We consider the one-dimensional Cahn-Hilliard equation with an inertial term epsilon u(tt), for epsilon >= 0. This equation, endowed with proper boundary conditions, generates a strongly continuous semigroup S-epsilon(t) which acts on a suitable phase-space and possesses a global attractor. Our main result is the construction of a robust family of exponential attractors [M-epsilon}, whose common basins of attraction are the whole phase-space. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2005-12-01

[关键词] Cahn-Hilliard equation;strongly continuous semigroups;absorbing sets;global attractors;robust exponential attractors