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Critical case for the viscous Cahn-Hilliard equation

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Bui, L.T.T. and Dao, A. N and Díaz Díaz, Jesús Ildefonso (2017) Critical case for the viscous Cahn-Hilliard equation. Electronic Journal of Differential Equations (176). pp. 1-8. ISSN 1072-6691

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Official URL: https://ejde.math.txstate.edu/



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].


Item Type:Article
Uncontrolled Keywords:Forward-backward parabolic equations; Singular limits; Pseudo-parabolic regularization; Cahn-Hilliard regularization; Viscous Cahn-Hilliard equation
Subjects:Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Functions
ID Code:44732
Deposited On:22 Sep 2017 11:19
Last Modified:12 Dec 2018 15:06

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