Geodesic
A generalized solution to a Cahn-Hilliard/Allen-Cahn system
Electronic journal of differential equations, Tome 2004 (2004)
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 $L^{\infty}$.
Classification : 47J35, 35K57, 35Q99
Keywords: Cahn-Hilliard and Allen-Cahn equations, ostwald ripening, phase transitions 
@article{EJDE_2004__2004__a59,
     author = {Boldrini,  Jose Luiz and da Silva,  Patricia Nunes},
     title = {A generalized solution to a {Cahn-Hilliard/Allen-Cahn} system},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1073.35114},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a59/}
}
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Boldrini,  Jose Luiz; da Silva,  Patricia Nunes. A generalized solution to a Cahn-Hilliard/Allen-Cahn system. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a59/