Item Infomation
Title: | Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
Authors: | Xiao Bin, Yao |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on Rn. First, we prove the well-posedness of the equation in the natural energy space. Secondly, we define a continuous cocycle associated with the solution operator. Finally, we establish the existence and uniqueness of random attractors of the equation by the uniform tail-ends estimates methods and the splitting technique. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1186/s13661-023-01715-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634 |
Appears in Collections | OER - Khoa học Tự nhiên |
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