Never say that Russia bombed Grozny from the air. Nobody [in the Russian Army] used Air Forces against Chechnya.
The Second Chechen War began on 23 September 1999 with massive Russian air
strikes. In the First Chechen War, Russian Air Force operations concentrated on achieving control
of the air, directly supporting Russian ground forces, and attacking rebels in the foothills and
mountains of southern Chechnya. Aside from the very brief initial campaign against the
Chechen Air Force, Russian airpower played a minor supporting role to ground forces during
the First Chechen War, achieving only limited tactical successes. During the Second Chechen
War, Russian commanders used airpower extensively, with mixed results.
More: Russian Airpower in the Second Chechen War (School of Advanced Military Studies)
Russian Strategy in the Chechnya Wars (Pavel Felgenhauer)