Passage of warm front does not affects only atmospheric pressure, temperature or humidity. Its impact on atmosphere is much more complex. I am looking after data related (probably from atmospheric soundings) to changes in concentration of atmospheric composition before and just after warm front passes on the ground.
In your area the warm front comes from the south bringing air that has some salt and desert sand as well. If it passes over industrial complexes it would also bring exhaust gases from those factories.
Aerosols transport and dissolution will have important effects. Also, horizontal temperature result in horizontal density gradients and salinity gradients. These perturbations are usually followed by dynamic adjustments. See this paper for some comments on heat fluxes and its effects on salinity in the air-sea interface:
https://journals.ametsoc.org/jpo/article/5/4/557/11657
https://journals.ametsoc.org/jpo/article/7/6/761/12066
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