Title of article :
THE EXISTENCE OF GLOBAL ATTRACTOR FOR A CAHN-HILLIARD/ALLEN-CAHN EQUATION
Author/Authors :
Tang ، H. - Jilin University, Changchun University , Liu ، C. - Jilin University , Zhao ، Z. - Changchun Normal University
Abstract :
In this paper, we consider a Cahn-Hillard/Allen-Cahn equation. By using the semigroup and the classical existence theorem of global attractors, we give the existence of the global attractor in H^k(0≤=k 5) space of this equation, and it attracts any bounded subset of H^k(Ω) in the H^k-norm.
Keywords :
Cahn , Hilliard , Allen , Cahn equation , existence , global attractor
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
