Some Results for the Primitive Equations with Physical Boundary Conditions
Mathematical Physics
2011-11-08 v1 Dynamical Systems
math.MP
Abstract
In this paper we consider the (simplified) 3-dimensional primitive equations with \emph{physical boundary conditions}. We show that the equations with constant forcing have a bounded absorbing ball in the -norm and that a solution to the unforced equations has its -norm decay to 0. From this, we argue that there exists an invariant measure (on ) for the equations under random kick-forcing.
Keywords
Cite
@article{arxiv.1111.1245,
title = {Some Results for the Primitive Equations with Physical Boundary Conditions},
author = {Lawrence Christopher Evans and Robert Gastler},
journal= {arXiv preprint arXiv:1111.1245},
year = {2011}
}