Global attractor of atmospheric equations

Article type: Research Article

Authors: Hong, Youngjoon

Affiliations: Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, IL, USA. E-mail: hongy@uic.edu

Abstract: We consider the three-dimensional primitive equations of the atmosphere with humidity and saturation associated with suitable boundary conditions. These equations have been shown to lead to well-posed problem producing a continuous semigroup despite the discontinuities due to the change of phase between vapor water and liquid water. In this article, we aim to show the existence of a global attractor for a model problem.

Keywords: primitive equations, global attractor, dynamical system, phase change, variational inequality

DOI: 10.3233/ASY-151332

Journal: Asymptotic Analysis, vol. 96, no. 2, pp. 91-107, 2016