期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 63, 期 3, 页码 -出版社
AIP Publishing
DOI: 10.1063/5.0050135
关键词
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资金
- National Natural Science Foundation of China [62173139]
- China Postdoctoral Science Foundation [2019TQ0089]
- Hunan Provincial Natural Science Foundation of China [2020JJ5344, 2019RS1033]
- Science and Technology Innovation Program of Hunan Province [2021RC4030]
- Scientific Research Fund of Hunan ProvincialEducation Department [20B353]
This paper focuses on the existence of a random attractor for a stochastic nonlocal delayed reaction-diffusion equation (SNDRDE) under a Dirichlet boundary condition. By adopting the random dynamical system theory together with the stochastic inequality technique, the authors first provide a uniform estimate of the solution and then prove the asymptotic compactness of the random dynamic system generated by the SNDRDE. The existence of a random attractor is subsequently obtained.
In this paper, we are concerned about the existence of a random attractor for a stochastic nonlocal delayed reaction-diffusion equation (SNDRDE) under a Dirichlet boundary condition. This equation models the spatial-temporal evolution of the mature individuals for a two-stage species whose juvenile and adults both diffuse under random perturbations. By adopting the random dynamical system theory together with the stochastic inequality technique, we first give a uniform estimate of the solution and then prove the asymptotic compactness of the random dynamic system generated by the SNDRDE and, subsequently, obtain the existence of a random attractor. Published under an exclusive license by AIP Publishing.
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