Critical case for the viscous Cahn-Hilliard equation
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Date
2017-07-11
Authors
Thanh, Bui Le Trong
Dao, Nguyen Anh
Diaz, Jesus Ildefonso
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as uq for the critical case when N ≥ 3. Our results improve the ones in [9,12].
Description
Keywords
Forward-backward parabolic equations, Singular limits, Pseudo-parabolic regularization, Cahn-Hilliard regularization, Viscous Cahn-Hilliard equation
Citation
Thanh, B. L. T., Dao, A. N., Díaz, J. I. (2017). Critical case for the viscous Cahn-Hilliard equation. Electronic Journal of Differential Equations, 2017(176), pp. 1-8.
Rights
Attribution 4.0 International