The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions-Reference-Cited by-同舟云学术

The coupled Cahn–Hilliard/Allen–Cahn system with dynamic boundary conditions

Published:2021-04-28 Issue: Volume: Page:1-27
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Makki Ahmad¹²,Miranville Alain¹,Petcu Madalina¹³⁴

Affiliation:

1. Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 7348 – SP2MI, Boulevard Marie et Pierre Curie – Téléport 2, F-86962 Chasseneuil Futuroscope Cedex, France. E-mails: ahmad.makki@math.univ-poitiers.fr, alain.miranville@math.univ-poitiers.fr, madalina.petcu@math.univ-poitiers.fr

2. Lebanese American University, Departement of Computer Science and Mathematics, Beirut, Lebanon

3. The Institute of Mathematics of the Romanian Academy, Bucharest, Romania

4. The Institute of Statistics and Applied Mathematics of the Romanian Academy, Bucharest, Romania

Abstract

In this article, we are interested in the study of the well-posedness as well as of the long time behavior, in terms of finite-dimensional attractors, of a coupled Allen–Cahn/Cahn–Hilliard system associated with dynamic boundary conditions. In particular, we prove the existence of the global attractor with finite fractal dimension.

Publisher

IOS Press

Subject

General Mathematics

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