Attractors for the degenerate Kirchhoff wave model with strong damping: Existence and the fractal dimension

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Ma, Honglv¹  Zhang, Jin²  Zhong, Chengkui³ 

[1] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China

[2] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Peoples R China

[3] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

关键词: Kirchhoff equation;    Global attractor;    Degenerate;    Z(2) index;    Fractal dimension;   

DOI  :  10.1016/j.jmaa.2019.123670

来源: Elsevier

【 摘 要 】

In this paper, we study the long time behavior of the Kirchhoff type wave equation in the space H-0(1)(Omega) x L-2(Omega). We prove the existence of the global attractor for the equation which covers the case of possible generation of the stiffness coefficient. We also consider the geometrical property of the global attractor. By means of the Z(2) index, we provide, under suitable assumptions, the fractal dimension of the global attractor is infinite. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free