Critical case for the viscous Cahn-Hilliard equation

Date

2017-07-11

Authors

Thanh, Bui Le Trong
Dao, Nguyen Anh
Diaz, Jesus Ildefonso

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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].

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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. <i>Electronic Journal of Differential Equations, 2017</i>(176), pp. 1-8.

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Attribution 4.0 International

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