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deformable continuum

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Some models of Cahn-Hilliard equationsin nonisotropic media
Alain Miranville
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 3 / May 2000

Published online by Cambridge University Press:

15 April 2002, pp. 539-554

Print publication:

May 2000
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We derive in this article some models ofCahn-Hilliard equations in nonisotropic media. These models, based onconstitutive equations introduced by Gurtin in [19], take the work ofinternal microforces and also the deformations of the material intoaccount. We then study the existence and uniqueness of solutions andobtain the existence of finite dimensional attractors.