A generalized solution to a Cahn-Hilliard/Allen-Cahn system
Date
2004-10-25
Authors
Boldrini, Jose Luiz
Nunes da Silva, Patricia
Journal Title
Journal ISSN
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.