Parameters of the Maxwell model given by Eq. (19) computed from GCM simulations as functions of the star-planet distance a (left panels, in au) and p_s (right panels, in bar) in logarithmic scales. Top panels: amplitude q_max of the maximum (Pa). Bottom panels: associated characteristic thermal time τ_max (days). Numerical results obtained with GCM simulations are designated by black points, the corresponding linear regressions (see Table 2) by solid blue lines. For the reference case, error bars are given to indicate the resolution ofthe sampling (for details about how they are constructed, see Sect. 5.2).