On the 2D Cahn-Hilliard/Allen-Cahn equation with the inertial term

Khanmamedov, AZER

doi:10.1016/j.jmaa.2020.124603

On the 2D Cahn-Hilliard/Allen-Cahn equation with the inertial term

Atıf İçin Kopyala

Khanmamedov A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.494, sa.2, 2021 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 494 Sayı: 2
Basım Tarihi: 2021
Doi Numarası: 10.1016/j.jmaa.2020.124603
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we consider the initial boundary value problem for the hyperbolic relaxation of the 2D Cahn-Hilliard/Allen-Cahn equation with cubic nonlinearity of class C-2. We prove that the semigroup generated by the weak solutions of this problem possesses a global attractor. We also improve the previously obtained results concerning the global attractors for the 2D Cahn-Hilliard equation with the inertial term. (c) 2020 Elsevier Inc. All rights reserved.