Bui Le Trong Thanh, Nguyen Ngoc Quoc Thuong
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.
Show me the PDF file (339 KB), TEX file for this article.
| Bui Le Trong Thanh |
Faculty of Mathematics and Computer Science
University of Science
227 Nguyen Van Cu, D. 5, Ho Chi Minh City, Vietnam
| Nguyen Ngoc Quoc Thuong |
Faculty of Mathematics and Statistics
Quy Nhon University
170 An Duong Vuong Street, Quy Nhon City, Vietnam
Return to the EJDE web page