A generalized solution to a Cahn-Hilliard/Allen-Cahn system

Date

2004-10-25

Authors

Boldrini, Jose Luiz
Nunes da Silva, Patricia

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We study a system consisting of a Cahn-Hilliard and several Allen-Cahn type equations. This system was proposed by Fan, L.-Q. Chen, S. Chen and Voorhees for modelling Ostwald ripening in two-phase system. We prove the existence of a generalized solution whose concentration component is in L∞.

Description

Keywords

Cahn-Hilliard and Allen-Cahn equations, Ostwald ripening, Phase transitions

Citation

Boldrini, J. L., & Nunes da Silva, P. (2004). A generalized solution to a Cahn-Hilliard/Allen-Cahn system. <i>Electronic Journal of Differential Equations, 2004</i>(126), pp. 1-24.

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Attribution 4.0 International

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