On the asymptotic stability analysis and the existence of time-periodic solutions of the primitive equations
Journal
Indiana University Mathematics Journal
Journal Volume
62
Journal Issue
2
Pages
403-441
Date Issued
2013
Author(s)
Shiue, M.-C.
Abstract
In this article, we prove an asymptotic stability criterion for the solutions of Primitive equations defined on a three-dimensional finite cylindrical domain with time-dependent forcing terms. Under a suitable smallness assumption on the nontrivial forcing terms, we obtain the existence of the time periodic solution for the Primitive equations. Moreover, this time-periodic solution is asymptotically stable in L sense.
Type
journal article