Global attractors for the 3D viscous Cahn–Hillard equations in an unbounded domain

Abstract

In this note the 3D viscous Cahn–Hillard equation is considered in an unbounded domain. It is shown that the semigroup generated by this equation has a global attractor. The asymptotic compactness of the solution operator is obtained by the uniform estimates on the tail of solutions.

Keywords:

• viscous Cahn–Hillard equation
• global attractor
• absorbing ball
• dissipative systems
• unbounded domain

AMS Subject Classifications::

• primary 35B65
• secondary 35B41