Artículo
Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise
Autor/es | Li, Lingyu
Chen, Zhang Caraballo Garrido, Tomás |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2022-07-01 |
Fecha de depósito | 2023-11-06 |
Publicado en |
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Resumen | In this paper, we are concerned with the long-time behavior of stochastic fractional nonlocal reaction-diffusion equations driven by additive noise. We use the techniques of random dynamical
systems to transform the ... In this paper, we are concerned with the long-time behavior of stochastic fractional nonlocal reaction-diffusion equations driven by additive noise. We use the techniques of random dynamical systems to transform the stochastic model into a random one. To deal with the new nonlocal term appeared in the transformed equation, we first use a generalization of Peano’s theorem to prove the existence of local solutions, and then adopt the Galerkin method to prove existence and uniqueness of weak solutions. Next, the existence of pullback attractors for the equation and its associated Wong-Zakai approximation equation driven by colored noise are shown, respectively. Furthermore, we establish the upper semi-continuity of random attractors of the Wong-Zakai approximation equation as δ → 0 +. |
Cita | Li, L., Chen, Z. y Caraballo Garrido, T. (2022). Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise. American institute of mathematical sciences, 16 (10), 2530-2558. https://doi.org/10.3934/dcdss.2022179. |
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