Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 126, pp. 1-24.

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

Authors: Jose Luiz Boldrini (DM-IMECC-UNICAMP, Brazil)
         Patricia Nunes da Silva (DM-IME-UERJ, Brazil)

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 $L^{\infty}$.
 
Submitted June 10, 2004. Published October 25, 2004.
Math Subject Classifications: 47J35, 35K57, 35Q99.
Key Words: Cahn-Hilliard and Allen-Cahn equations; Ostwald ripening;
phase transitions