Some models of Cahn-Hilliard equations in nonisotropic media

Alain Miranville

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

Abstract

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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.

How to cite

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Miranville, 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 -

References

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