The atmosphere and ocean are two of the most important components of the climate system,
and fluid dynamics is central to our understanding of both. This book provides a unified and …

This chapter summarizes our present knowledge of Gulf Stream separation in numerical
ocean models. High horizontal resolution ocean numerical models are now capable of …

The classical numerical treatment of two-point boundary value problems on infinite intervals
is based on the introduction of a truncated boundary (instead of infinity) where appropriate …

In this review I f (Jcus on the western boundary current known as the Gulf Stream, which
detaches from the coast off Cape Hatteras, North Carolina, flowing eastward into the Atlantic …

Boundary layer separation occurs in classical fluids when the boundary layer is decelerated
by an adverse pressure gradient. Here a “separation formula” is derived for downstream …

An upper bound on the heat flux for infinite-Prandtl-number convection between two parallel
plates is determined for the cases of no-slip and free-slip boundary conditions. For no-slip …

It is well known that the barotropic, wind-driven, single-gyre ocean model reaches an
inertially-dominated equilibrium with unrealistic circulation strength when the explicit …

The classic oceanographic problem of a 1.5-layer western boundary current evolving along
a straight wall is considered. Here, building upon the previous work of Charney, Huang and …

Laplace transform methods are used to study the valuation of American call and put options
with constant dividend yield, and to derive integral equations giving the location of the …

In this paper, we show that a class of odd order obstacle problems can be studied in the
general framework of variational inequalities. It is shown that the variational inequalities can …