Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping
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@Article{AAM-33-50,
author = {Song , Zhihua and Zhang , Yuanyuan},
title = {Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {33},
number = {1},
pages = {50--62},
abstract = {
The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the decomposition, and moreover, the structure of the global attractor is established. Our results improve the previous results.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20594.html} }
TY - JOUR
T1 - Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping
AU - Song , Zhihua
AU - Zhang , Yuanyuan
JO - Annals of Applied Mathematics
VL - 1
SP - 50
EP - 62
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20594.html
KW - wave equations, global attractors, critical nonlinearity.
AB -
The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the decomposition, and moreover, the structure of the global attractor is established. Our results improve the previous results.
Zhihua Song & Yuanyuan Zhang. (2022). Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping.
Annals of Applied Mathematics. 33 (1).
50-62.
doi:
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