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 obtained with 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 equations supplemented with initial and suitable boundary conditions.