Artículo
Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays
Autor/es | Zhang, Qiangheng
Caraballo Garrido, Tomás Yang, Shuang |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2023-10-03 |
Fecha de depósito | 2024-03-11 |
Publicado en |
|
Resumen | In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a backward regular attractor, which is a new type of attractor defined by a minimal backward pullback ... In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a backward regular attractor, which is a new type of attractor defined by a minimal backward pullback attracting set. We then establish an existence theorem for such an attractor, and prove it is long time stable. Eventually, we prove the long time stability of regular pullback random attractors. As an application, we consider stochastic non-autonomous Newton–Boussinesq equations with variable and distributed delays. Since solutions of the equations have no higher regularity, we prove their regular asymptotic compactness via the spectrum decomposition technique. |
Cita | Zhang, Q., Caraballo Garrido, T. y Yang, S. (2023). Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays. Physica D: Nonlinear Phenomena, 458, 134012-1. https://doi.org/10.1016/j.physd.2023.134012. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
9-Stability of regular attractors ... | 430.8Kb | [PDF] | Ver/ | |