In this talk we discuss wellposedness, regularization, and relaxation for a broad class of Fokker-Planck-Alignment models which appear in collective dynamics and many other applications. The main feature of these results, as opposed to previously known ones, is the lack of regularity or no-vacuum requirements on the initial data. With a particular application to the classical kinetic Cucker-Smale model, we demonstrate that any bounded data with finite energy, $(1+ |v|^2) f_0 \in L^1$, $f_0 \in L^\infty$, and finite higher moment $|v|^q f\in L^2$, $q \gg 2$, gives rise to a global instantly smooth solution, satisfying entropy equality and relaxing exponentially fast.
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