$ \definecolor{green}{RGB}{45,177,93} \definecolor{bleu}{RGB}{18,110,213} \definecolor{red}{RGB}{255,0,0} \displaystyle{ \label{Navier_stokes_1}\frac{Du}{Dt}\color{bleu}-\texttip{\frac{uv\tan\theta}{r}}{Force centrifuge}\color{black}+\texttip{\frac{uw}{r}}{Force centrifuge}=\color{green}-\texttip{\frac{1}{\rho}\frac{\partial{p}}{\partial{x}}}{Gradient de pression}\color{black}\color{red}+\texttip{2\Omega{v}\sin\theta}{Force de Coriolis}\color{black}-\texttip{2\Omega{w}\cos\theta}{Force de Coriolis}+\texttip{F_{rx}}{Friction} } $

$ \displaystyle{ \label{Navier_stokes_2}\frac{Dv}{Dt}\color{bleu}+\texttip{\frac{u^2\tan\theta}{r}}{Force centrifuge}\color{black}+\texttip{\frac{vw}{r}}{Force centrifuge}=\color{green}-\texttip{\frac{1}{\rho}\frac{\partial{p}}{\partial{y}}}{Gradient de pression}\color{black}\color{red}-\texttip{2\Omega{u}\sin\theta}{Force de Coriolis}\color{black}+\texttip{F_{ry}}{Friction} } $

$ \displaystyle{ \label{Navier_stokes_3}\frac{Dw}{Dt}-\texttip{\frac{u^2+v^2}{r}}{Force centrifuge}=\color{green}\texttip{{-\frac{1}{\rho}\frac{\partial{p}}{\partial{z}}}}{Gradient de pression}-\texttip{g}{Accélération de pesanteur}\color{black}+\texttip{2\Omega{u}\cos\theta}{Force de Coriolis}+\texttip{F_{rz}}{Friction} } $

$ \displaystyle{ \label{Navier_stokes_4}\color{green}\bullet\color{white}\bullet\color{green}\textrm{ Equilibre hydrostatique } } $

$ \displaystyle{ \label{Navier_stokes_5}\color{green}\bullet\color{red}\bullet\textrm{ Equilibre géostrophique} } $

$ \displaystyle{ \label{Navier_stokes_6}\color{green}\bullet\color{bleu}\bullet\textrm{ Equilibre cyclostrophique} } $