Time-periodic solutions of the primitive equations of large-scale moist atmosphere: existence and stability
Journal
Applicable Analysis
Journal Volume
94
Journal Issue
9
Pages
1926-1963
Date Issued
2015
Author(s)
Shiue, M.-C.
Abstract
This article is devoted to the study of the asymptotic stability of the three-dimensional viscous primitive equations for large-scale moist atmosphere in the pressure coordinate system. An asymptotic stability criterion for the solutions of such model with time-dependent forcing terms is obtained. In particular, under the assumptions that the associated forces are both time-periodic and small (in a suitable sense), we obtain the existence of the time-periodic solution for the primitive equations of large-scale moist atmosphere. Moreover, this time-periodic solution is asymptotically stable in sense.
SDGs
Type
journal article