Volume 55, Issue 1
On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures

Laurence Cherfils & Alain Miranville

J. Math. Study, 55 (2022), pp. 22-37.

Published online: 2022-01

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  • Abstract

Our aim in this paper is to study a coupled Cahn–Hilliard system for copolymer/homopolymer mixtures. We prove the existence, uniqueness and regularity of solutions. We then prove the existence of finite dimensional global attractors.

  • AMS Subject Headings

35K55, 35B45, 35B41

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

laurence.cherfils@univ-lr.fr (Laurence Cherfils)

alain.miranville@math.univ-poitiers.fr (Alain Miranville)

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@Article{JMS-55-22, author = {Cherfils , Laurence and Miranville , Alain}, title = {On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures}, journal = {Journal of Mathematical Study}, year = {2022}, volume = {55}, number = {1}, pages = {22--37}, abstract = {

Our aim in this paper is to study a coupled Cahn–Hilliard system for copolymer/homopolymer mixtures. We prove the existence, uniqueness and regularity of solutions. We then prove the existence of finite dimensional global attractors.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n1.22.02}, url = {http://global-sci.org/intro/article_detail/jms/20190.html} }
TY - JOUR T1 - On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures AU - Cherfils , Laurence AU - Miranville , Alain JO - Journal of Mathematical Study VL - 1 SP - 22 EP - 37 PY - 2022 DA - 2022/01 SN - 55 DO - http://doi.org/10.4208/jms.v55n1.22.02 UR - https://global-sci.org/intro/article_detail/jms/20190.html KW - Coupled Cahn–Hilliard system, well-posedness, finite dimensional global attractors. AB -

Our aim in this paper is to study a coupled Cahn–Hilliard system for copolymer/homopolymer mixtures. We prove the existence, uniqueness and regularity of solutions. We then prove the existence of finite dimensional global attractors.

Cherfils , Laurence and Miranville , Alain. (2022). On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures. Journal of Mathematical Study. 55 (1). 22-37. doi:10.4208/jms.v55n1.22.02
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