Existence for the Cahn-Hilliard phase separation model with a nondifferentiable energy |
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| Authors: | Charles M Elliott Andro Mikeli? |
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| Institution: | (1) Present address: School of Mathematical and Physical Sciences, University of Sussex, BN1 9QH Falmer, Brighton, England;(2) Present address: Theoretical Physics Department, Rudjer Bo kovi Institute, Zagreb, Yugoslavia |
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| Abstract: | Summary The Cahn-Hilliard model for phase separation in a binary alloy leads to the equations (I) ut= w, (II) w=  (u)–  u with an associated energy functional F(u)=f (u)+ +¦ u¦2/2] dx. In this paper we discuss the existence theory for initial bounday value problems arising from modifications to the Cahn-Hilliard model due to the addition of the non-differentiable term  ¦u¦dx to the energy F(u). |
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