Volume 7, Number 1, Spring 1999
SUB-INERTIAL DYNAMICS OF DENSITY-DRIVEN
FLOWS IN A CONTINUOUSLY STRATIFIED FLUID
ON A SLOPING BOTTOM.
Part 3. NONLINEAR STABILITY THEORY
FRANCIS J. POULIN AND GORDON E. SWATERS
Abstract. A nonlinear stability theory is developed for
the low frequency dynamics of bottom-intensified density-driven
flows within a continuously stratified rotating fluid of
finite depth with variable bottom topography. These flows
form an important component of the meridional heat transport
in Earth's oceans, i.e., the climate system.