On two classes of generalized viscous Cahn-Hilliard equations

This paper investigates two classes of generalized viscous Cahn-Hilliard equations, featuring two different laws for the mobility, which is assumed to depend on the chemical potential. Both equations can be framed in the new derivation of equations of Cahn-Hilliard type proposed by M.E. Gurtin. Approximation and compactness tools allow to prove well-posedness and, in one case, regularity results for the systems obtained supplementing each equation with initial and suitable boundary conditio