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It depends what reserve’s he has, if he has 200,000 troops mostly Tank Armies or Motor Rifle units advance through the existing troops and slice off areas of Ukraine trying to disrupt their lines of communication. Don’t be nice about it to get lots of Displaced Persons to clog up Ukrainian supply lines. But I don’t think Putin has or can mobilise enough troops.
If he has less troops he could slog forward using lots of artillery and using what air power he has in limited areas. The democratic world will continue to be outraged. Leaving the west of Ukraine means we can move equipment in. (Are the Poles going to hand over some Mig29s). This won’t be pretty.
If I was him I’d try to take anything, territory/towns then “give” it away in negotiations to keep the Crimea water supply and the Donbas corridor. Quickly with any troops I could muster before I was deposed.
Lightening strikes bypassing centres of resistance is very much a Russian tactic but they are supposed to field an unstoppable shock force backed up with 2nd echelon troops to mop up. The BTR-80s shown on the news should be doing the mopping up.
To give you some idea of what will happen if this does move from being a manoeuvre war to a slog through the streets the Red Army allocated 10,000 troops to clear the Reichstag area in WWII.
The prospect of fighting in a built up area is frightening as an eager youth I was in the TA we did FIBUA exercises with a kind of LazerQuest system in our rifles(SAWS). We had to abandon an exercise because the entire battalion (400 troops) was “killed” before clearing a village.