Advanced Nonlinear Studies (Aug 2018)
Finite-Dimensionality and Determining Modes of the Global Attractor for 2D Boussinesq Equations with Fractional Laplacian
Abstract
We prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic domain with fractional Laplacian in the subcritical case.
Keywords