Random Dynamics and Limiting Behaviors for 3D Globally Modified Navier-Stokes Equations Driven by Colored Noise
This paper is mainly concerned with the long-term random dynamics for the non-autonomous 3D globally modified Navier-Stokes equations with nonlinear colored noise. We first prove the existence of random attractors of the nonautonomous random dynamical system generated by the solution operators of su...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/150159 |
| Acceso en línea: | https://hdl.handle.net/11441/150159 https://doi.org/10.1111/sapm.12579 |
| Access Level: | acceso abierto |
| Palabra clave: | Globally modified Navier-Stokes equations random attractor invariant measure random Liouville type theorem limit measure |
| Sumario: | This paper is mainly concerned with the long-term random dynamics for the non-autonomous 3D globally modified Navier-Stokes equations with nonlinear colored noise. We first prove the existence of random attractors of the nonautonomous random dynamical system generated by the solution operators of such equations. Then we establish the existence of invariant measures supported on the random attractors of the underlying system. Random Liouville type theorem is also derived for such invariant measures. Moreover, we further investigate the limiting relationship of invariant measures between the above equations and the corresponding limiting equations when the noise intensity approaches to zero. In addition, we show the invariant measures of such equations with additive white noise can be approximated by those of the corresponding equations with additive colored noise as the correlation time of the colored noise goes to zero. |
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