Global attractor and exponential attractor for a Parabolic system of Cahn-Hilliard with a proliferation term

Aymard Christbert Nimi; Daniel Moukoko; Aymard Christbert Nimi; Daniel Moukoko

doi:10.3934/math.2020095

AIMS Mathematics

2020, Volume 5, Issue 2: 1383-1399. doi: 10.3934/math.2020095

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Research article

Global attractor and exponential attractor for a Parabolic system of Cahn-Hilliard with a proliferation term

Laboratoire d’Analyse Fonctionnelle et Équations aux Dérivées Partielles, Faculté des Sciences et Techniques, Université Marien Ngouabi, B. P. 69 Brazzaville, Congo

Received: 10 October 2019 Accepted: 13 December 2019 Published: 20 January 2020
MSC : 35K55, 35J60, 80A22

In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global attractor and the existence of an exponential attractor.
- Cahn-Hilliard system,
- proliferation term,
- dissipativity,
- global attractor,
- exponential attractors
Citation: Aymard Christbert Nimi, Daniel Moukoko. Global attractor and exponential attractor for a Parabolic system of Cahn-Hilliard with a proliferation term[J]. AIMS Mathematics, 2020, 5(2): 1383-1399. doi: 10.3934/math.2020095

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Abstract

In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global attractor and the existence of an exponential attractor.

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