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A widely used approach to mathematically describe the atmosphere is toconsider it as a geophysical fluid in a shallow domain -- and thus to model itusing classical fluid dynamical equations combined with the explicit inclusionof an {\epsilon} parameter representing the small aspect ratio of the physicaldomain. In our previous paper [15] we proved a weak convergence theorem for thepolluted atmosphere described by the Navier-Stokes equations extended by anadvection-diffusion equation. We obtained a justification of the generalisedhydrostatic limit model including the pollution effect described for the caseof classical, east-north-upwards oriented local Cartesian coordinates. Here wegive a two-fold improvement of this statement. Firstly, we consider ameteorologically more meaningful coordinate system, incorporate the analyticalconsequences of this coordinate change into the governing equations, and verifythat the weak convergence still holds for this altered system. Secondly, stillconsidering this new, so-called downwind-matching coordinate system, we provean analogous strong convergence result, which we make complete by providing aclosely related existence theorem as well.

The primitive equations of the polluted atmosphere as a weak and strong limit of the 3D Navier-Stokes equations in downwind-matching coordinates