Exponential decay of solutions for the convective Cahn-Hilliard equation with the inertial term
Journal of Mathematical Analysis and Applications, cilt.561, sa.2, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 561 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.jmaa.2026.130578
- Dergi Adı: Journal of Mathematical Analysis and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Convective Cahn-Hilliard equation, Exponential decay, Hyperbolic relaxation
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper, we consider the initial boundary value problem for the two-dimensional convective Cahn-Hilliard equation involving the inertial term. Using the semigroup theory and Brezis-Gallouet inequality, we first establish the existence of a unique weak solution. Then, using the splitting method, we prove that if the coefficient of the inertial term is sufficiently small, the weak solution exhibits exponential decay, and the decay rate is independent of the inertial term's coefficient.