Bui Le Trong Thanh, Nguyen Ngoc Quoc Thuong
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.
DOI: 10.58997/ejde.2020.07
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 email: bltthanh@hcmus.edu.vn |
|---|---|
 |
Nguyen Ngoc Quoc Thuong Faculty of Mathematics and Statistics Quy Nhon University 170 An Duong Vuong Street, Quy Nhon City, Vietnam email: nguyenngocquocthuong@qnu.edu.vn |
Return to the EJDE web page