Global Existence for a Nonstandard Viscous Cahn-Hilliard System with Dynamic Boundary Condition

@article{Colli2017GlobalEF,
  title={Global Existence for a Nonstandard Viscous Cahn-Hilliard System with Dynamic Boundary Condition},
  author={Pierluigi Colli and Gianni Gilardi and J{\"u}rgen Sprekels},
  journal={SIAM J. Math. Anal.},
  year={2017},
  volume={49},
  pages={1732-1760}
}
In this paper, we study a model for phase segregation taking place in a spatial domain that was introduced by Podio-Guidugli [Ric. Mat., 55 (2006), pp. 105--118]. The model consists of a strongly coupled system of nonlinear parabolic differential equations, in which products between the unknown functions and their time derivatives occur, that are difficult to handle analytically. In contrast to the existing literature about this PDE system, we consider here a dynamic boundary condition… 
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