Global attractors for the 3D viscous Cahn-Hilliard equations in an unbounded domain. (Global attractors for the 3D viscous Cahn-Hillard equations in an unbounded domain.) (English) Zbl 1176.35038
Summary: 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.
MSC:
| 35B41 | Attractors |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35K58 | Semilinear parabolic equations |
| 35K35 | Initial-boundary value problems for higher-order parabolic equations |
Keywords:
viscous Cahn-Hilliard equation; global attractor; absorbing ball; dissipative systems; unbounded domainReferences:
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