This talk is based on a recent paper "Convective Instabilities of Bunched Beams with Space Charge", which updated version [v.3] used in this presentation, should be available later tonight, Aug 16, 2018, at https://arxiv.org/abs/1807.04887 .

Those who missed parts 1 and 2 of this talk are still welcome! At the beginning, I will give an intro, which should be sufficient, and the talk will be based mostly on plot discussions. No hard math is planned to be imposed on the heads of the listeners :)