Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel
arXiv:0705.3671 · doi:10.1016/j.na.2008.02.098
Abstract
We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions. We also establish the regularity of the global attractor.