In this article, an L^ p L p-approach to the primitive equations is developed. In particular, it is
shown that the three dimensional primitive equations admit a unique, global strong solution …

An important feature of the planetary oceanic dynamics is that the aspect ratio (the ratio of
the depth to horizontal width) is very small. As a result, the hydrostatic approximation …

In this paper, we consider the initial–boundary value problem of the three-dimensional
primitive equations for oceanic and atmospheric dynamics with only horizontal viscosity and …

In this paper, we provide rigorous justification of the hydrostatic approximation and the
derivation of primitive equations as the small aspect ratio limit of the incompressible three …

In this paper, we consider the 3D primitive equations of oceanic and atmospheric dynamics
with only horizontal eddy viscosities in the horizontal momentum equations and only vertical …

We establish the continuity of the Markovian semigroup associated with strong solutions of
the stochastic 3D Primitive Equations, and prove the existence of an invariant measure. The …

Consider the full primitive equations, ie the three dimensional primitive equations coupled to
the equation for temperature and salinity, and subject to outer forces. It is shown that this set …

This paper is devoted to reviewing several recent developments concerning certain class of
geophysical models, including the primitive equations (PEs) of atmospheric and oceanic …

In this article, we show that the continuous data assimilation algorithm is valid for the 3D
primitive equations of the ocean. Namely, the $ L^ 2$ norm of the assimilated solution …

A modification of the classical primitive equations of the atmosphere is considered in order
to take into account important phase transition phenomena due to air saturation and …