Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors. Then we consider the two-dimensional incompressible Navier-Stokes equations with additive white noise as an ex...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/130373 |
| Acceso en línea: | https://hdl.handle.net/11441/130373 https://doi.org/10.1016/j.jde.2022.02.007 |
| Access Level: | acceso abierto |
| Palabra clave: | Invariant sample measures Random Liouville type theorem Random dynamical system Global random attractor Stochastic Navier-Stokes equations |
| Sumario: | In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors. Then we consider the two-dimensional incompressible Navier-Stokes equations with additive white noise as an example to show how to check the sufficient conditions for concrete stochastic partial differential equations. Our results generalize the Liouville type theorem to the random case and reveal that the invariance of the sample measures is a particular situation of the random Liouville type theorem |
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