Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains
In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions and then establish the existence and upper semicontinuity of random attractors.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/1053042 |
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| _version_ | 1832568138671063040 |
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| author | Xiaobin Yao Zhang Zhang |
| author_facet | Xiaobin Yao Zhang Zhang |
| author_sort | Xiaobin Yao |
| collection | DOAJ |
| description | In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions and then establish the existence and upper semicontinuity of random attractors. |
| format | Article |
| id | doaj-art-3ad26800d36f4a4ab7f0c3e4bd1c0994 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3ad26800d36f4a4ab7f0c3e4bd1c09942025-02-03T00:59:36ZengWileyComplexity1099-05262022-01-01202210.1155/2022/1053042Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded DomainsXiaobin Yao0Zhang Zhang1School of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains. We first prove the uniform estimates of solutions and then establish the existence and upper semicontinuity of random attractors.http://dx.doi.org/10.1155/2022/1053042 |
| spellingShingle | Xiaobin Yao Zhang Zhang Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains Complexity |
| title | Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains |
| title_full | Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains |
| title_fullStr | Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains |
| title_full_unstemmed | Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains |
| title_short | Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains |
| title_sort | asymptotic behavior of the kirchhoff type stochastic plate equation on unbounded domains |
| url | http://dx.doi.org/10.1155/2022/1053042 |
| work_keys_str_mv | AT xiaobinyao asymptoticbehaviorofthekirchhofftypestochasticplateequationonunboundeddomains AT zhangzhang asymptoticbehaviorofthekirchhofftypestochasticplateequationonunboundeddomains |