Artículo
Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
Autor/es | Zhao, Caidi
Wang, Jintao Caraballo Garrido, Tomás ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2022-02-17 |
Fecha de depósito | 2022-03-03 |
Publicado en |
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Resumen | 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 ... 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 |
Cita | Zhao, C., Wang, J. y Caraballo Garrido, T. (2022). Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations. Journal of Differential Equations, 317, 474-494. |
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