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Fig. 4

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Comparison between the numerical solution of Eq. (19) and our approximated solution (Eq. (22)) for different Toomre parameters of gas ($Qg3D$)\[(\$ Q_g^{3D}\$ )\], dust ($Qd3D$)\[(\$ Q_d^{3D}\$ )\], and relative effective gas-to-dust temperature (ξ˜)\[{\rm{(}}\widetilde \xi {\rm{)}}\]. Top: Vertical profile of gas density. Bottom: L2 norm error map in log10 scale.

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