Well-posedness and global attractors for a non-isothermal viscous relaxation of nonlocal Cahn-Hilliard equations

Abstract

We investigate a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. This perturbation problem generates a family of solution operators, exhibiting dissipation and conservation. The solution operators admit a family of compact global attractors that are bounded in a more regular phase-space.

To appear in AIMS Mathematics, Nonlinear Evolution PDEs, Interfaces and Applications