Passing to the limit on small parameters for generalized viscous Cahn-Hilliard type equations with nonlinear source
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Date
2020-01-13
Authors
Thanh, Bui Le Trong
Thuong, Nguyen Ngoc Quoc
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Generalized Cahn-Hilliard equation, Singular limits, Forward-backward parabolic equations, Young measure
Citation
Thanh, B. L. T., & Thuong, N. N. Q. (2020). Passing to the limit on small parameters for generalized viscous Cahn-Hilliard type equations with nonlinear source. <i>Electronic Journal of Differential Equations, 2020</i>(07), pp. 1-15.
Rights
Attribution 4.0 International