On two classes of generalized viscous Cahn-Hilliard equations
Riccarda Rossi - Department of Mathematics "Felice Casorati", University of Pavia, V. Ferrata, 1 27100 Pavia, Italy (email)
Abstract: 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.
Keywords: Viscous Cahn-Hilliard equation, micro force balance, Neumann and Robin boundary conditions.
Received: March 2004; Revised: December 2004; Published: March 2005.
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