Long-time dynamics of the Swift-Hohenberg equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Khanmamedov, Azer¹ 

[1] Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

关键词: Swift-Hohenberg equation;    Hyperbolic relaxation;    Global attractor;   

DOI  :  10.1016/j.jmaa.2019.123626

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free