Atmospheric dynamics is governed by complex mathematical relationships
that have been extensively modeled and discussed in recent decades. The aim of this
chapter is to quickly recall the basic governing equations along with their main
applications in order to better understand Modeling references. In the bibliography, a set
of reference handbooks is provided for an exhaustive presentation of these topics.
Keywords: Advection, baroclinic condition, barotropic condition, circulation,
conservation of momentum, Coriolis force, cyclostrophic flow, divergence,
geopotential height, governing equation, gradient flow, isentropic coordinate,
lapse rate, natural coordinate system, omega function, potential temperature,
Rossby number, s-coordinate system, thermal wind, wind velocity.