Long-time dynamics of the Swift-Hohenberg equations

Khanmamedov, AZER

doi:10.1016/j.jmaa.2019.123626

Long-time dynamics of the Swift-Hohenberg equations

Atıf İçin Kopyala

Khanmamedov A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.483, sa.2, 2020 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 483 Sayı: 2
Basım Tarihi: 2020
Doi Numarası: 10.1016/j.jmaa.2019.123626
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

We consider the initial boundary value problems for the Swift-Hohenberg equation and its hyperbolic relaxation. Under the optimal conditions on the nonlinearity, we prove the well-posedness of the both problems and uniform (with respect to the initial data) global boundedness of the solutions. Then, we show that the both problems possess the global attractors of optimal regularity. (C) 2019 Elsevier Inc. All rights reserved.