Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions

Knopf, Patrik

; Lam, Kei Fong

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Zusammenfassung

We prove the existence of unique weak solutions to an extension of a Cahn-Hilliard model proposed recently by C Liu and H Wu (2019Arch. Ration. Mech. Anal.233167-247), in which the new dynamic boundary condition is further generalised with an affine linear relation between the surface and bulk phase field variables. As a first approach to tackle more general and nonlinear relations, we ...