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# System prepended metadata

title: Cyclogenesis based on Petterson eqautn

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# Cyclogenesis based on Petterson eqaution

## Peterssen equation 
1. Target
    Finding the upper-lower level interactoin during cyclogenesis.
    
2. Equation
    $$
        \frac{\partial \zeta_l}{\partial t} = -\vec{v}\cdot \nabla\zeta_{500\;mb}-\kappa\nabla^2(\overline{-\vec{v}\cdot\nabla T}+\overline{(\Gamma_d-\Gamma)\omega}+\overline{q}/C_p)
    $$
    
    In this equation, if:
    $\frac{\partial \zeta_l}{\partial t}>0$: cyclogenesis
    
3.  
