Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 07, pp. 1-15.

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

Authors: Bui Le Trong Thanh (Univ. of Science, Ho Chi Minh City, Vietnam)
         Nguyen Ngoc Quoc Thuong (Quy Nhon Univ., Quy Nhon City, Vietnam)

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.
 
Submitted July 7, 2019. Published January 13, 2020.
Math Subject Classifications: 35B25, 35K55, 35R25, 28A33, 35D99.
Key Words: Generalized Cahn-Hilliard  equation; singular limits;
           forward-backward parabolic equations;  Young measure.