# Some models of Cahn-Hilliard equations in nonisotropic media

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 34, Issue: 3, page 539-554
- ISSN: 0764-583X

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topMiranville, Alain. " Some models of Cahn-Hilliard equations in nonisotropic media ." ESAIM: Mathematical Modelling and Numerical Analysis 34.3 (2010): 539-554. <http://eudml.org/doc/197590>.

@article{Miranville2010,

abstract = {
We derive in this article some models of
Cahn-Hilliard equations in nonisotropic media. These models, based on
constitutive equations introduced by Gurtin in [19], take the work of
internal microforces and also the deformations of the material into
account. We then study the existence and uniqueness of solutions and
obtain the existence of finite dimensional attractors.
},

author = {Miranville, Alain},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Cahn-Hilliard equation;
internal microforces; deformable continuum; nonisotropic material;
global attractor; exponential attractor.; Cahn-Hillard equation; finite dimensional attractor; existence; uniqueness; initial value problem},

language = {eng},

month = {3},

number = {3},

pages = {539-554},

publisher = {EDP Sciences},

title = { Some models of Cahn-Hilliard equations in nonisotropic media },

url = {http://eudml.org/doc/197590},

volume = {34},

year = {2010},

}

TY - JOUR

AU - Miranville, Alain

TI - Some models of Cahn-Hilliard equations in nonisotropic media

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 34

IS - 3

SP - 539

EP - 554

AB -
We derive in this article some models of
Cahn-Hilliard equations in nonisotropic media. These models, based on
constitutive equations introduced by Gurtin in [19], take the work of
internal microforces and also the deformations of the material into
account. We then study the existence and uniqueness of solutions and
obtain the existence of finite dimensional attractors.

LA - eng

KW - Cahn-Hilliard equation;
internal microforces; deformable continuum; nonisotropic material;
global attractor; exponential attractor.; Cahn-Hillard equation; finite dimensional attractor; existence; uniqueness; initial value problem

UR - http://eudml.org/doc/197590

ER -

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