Random attractors for stochastic 2D hydrodynamical type systems

• Date: 2019
• Main Authors: Cung, The Anh, Nguyen, Tien Da
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/361
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the asymptotic behavior of solutions to a class of abstract nonlinear stochastic evolution equations with additive noise that covers numerous 2D hydrodynamical models, such as the 2D Navier–Stokes equations, 2D Boussinesq equations, 2D MHD equations, etc., and also some 3D models, like the...