Passing to the limit on small parameters for generalized viscous Cahn-Hilliard type equations with nonlinear source

Abstract

We study the well-posedness of the generalized viscous Cahn-Hilliard equation with nonlinear source term. Then, we analyze the singular limits when the relaxed terms vanish. In the sense of Young measures, we obtain the measure-valued solution of a forward-backward parabolic type equation.