Upper semicontinuity of global attractors for the generalized Cahn-Hilliard equation with inertial term
Journal of Mathematical Analysis and Applications, cilt.560, sa.2, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 560 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.jmaa.2026.130495
- Dergi Adı: Journal of Mathematical Analysis and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Cahn-Hilliard equation, Global attractor, Hyperbolic relaxation
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, we consider the initial boundary value problem for the 2D Cahn-Hilliard equation involving inertial and zero-order source terms. In the case when the zero-order source term is a linear function on a large enough neighborhood of the origin, and the coefficient of the inertial term is sufficiently small, we prove that the global attractors for energy and weak solutions coincide. Then, we establish the upper semicontinuity of these global attractors.