They are being pounded, yet will not give up.
And the whole thing is stagnating. The plan to take Kyiv in 3 hours backfired bigtime for the Russians. In fact, It is looking increasingly likely, that Ukraine will be able to prevent Russian army in the North, from EVER encircling Kyiv. The battle seems to be lost to Russia.
Russian invasion planners fucked up royally by placing all their fuel trucks in one basket in that 40 mile convoy. Ukraine played it brilliantly, by blocking that convoy before it reached Hostomel.
Not that the Russians being pinned down makes the situation in any way safe or quiet. The Russians still have artillery and missiles that they lob onto the civillian population daily. The cities in the East are occupied, but there is resistance both armed and unarmed by the Ukrainians to the Russian invasion.
Unlike what happened in the Crimea, the Ukrainians have far more cell phones and are documenting the occupation. Not sure to say whether the Ukrainian resistance is high-tech or low-tech. It's a mixture of the two. Whatever the case, the myth of Russian superiority is being trashed daily.There are a lot of reasons for this, but "Red Dawn" is turning out to be a Cold War fantasy. One of the reasons Hitler and the Nazis could occupy as much of Europe as they did was collaboration in the occupied territories. Unfortunately, they didn't have the technology to document what was going on then.
I think the big take away from this War is that a small group of armed people can disturb the lives of a lot of people for as long as that small group exists.The only way to get peace in Ukraine is if Russia is defeated and decomposed once and for all. It cannot be allowed to become an Empire of any sort again.