Asymptotic behavior of plate equations driven by colored noise on unbounded domains
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1186/s13661-023-01715-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634 |
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oai:localhost:PNK-76342023-04-06T04:20:30Z Asymptotic behavior of plate equations driven by colored noise on unbounded domains Xiao Bin, Yao nonautonomous random dynamical systems well-posedness of the equation CC BY 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. 2023-04-06T04:20:30Z 2023-04-06T04:20:30Z 2023 Book https://link.springer.com/article/10.1186/s13661-023-01715-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
nonautonomous random dynamical systems well-posedness of the equation |
| spellingShingle |
nonautonomous random dynamical systems well-posedness of the equation Xiao Bin, Yao Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| description |
CC BY |
| format |
Book |
| author |
Xiao Bin, Yao |
| author_facet |
Xiao Bin, Yao |
| author_sort |
Xiao Bin, Yao |
| title |
Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| title_short |
Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| title_full |
Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| title_fullStr |
Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| title_full_unstemmed |
Asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| title_sort |
asymptotic behavior of plate equations driven by colored noise on unbounded domains |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1186/s13661-023-01715-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7634 |
| _version_ |
1762456093649272832 |
| score |
8.891053 |