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 …

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 …

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 …

This article presents the maximal regularity approach to the primitive equations. It is proved
that the 3D primitive equations on cylindrical domains admit a unique global strong solution …

We show the existence of global weak solutions to the three-dimensional compressible
primitive equations of atmospheric dynamics with degenerate viscosities. In analogy with the …

In this paper, we consider a nonlinear interaction system between the barotropic mode and
the first baroclinic mode of the tropical atmosphere with moisture, which was derived in …

The quasi-geostrophic (QG) equations play a crucial role in our understanding of
atmospheric and oceanic fluid dynamics. Nevertheless, the traditional QG equations …

The occurrence and development of cloud and precipitation are the products of the
combination of atmospheric dynamic, thermal processes and cloud microphysical …

This work is devoted to establishing the local-in-time well-posedness of strong solutions to
the three-dimensional compressible primitive equations of atmospheric dynamics. It is …