Roman Shvydkoy - On regularity and asymptotics of kinetic alignment models - IPAM at UCLA
Recorded 16 September 2025. Roman Shvydkoy of the University of Chicago presents "On regularity and asymptotics of kinetic alignment models" at IPAM's Embracing Stochasticity in Electrochemical Modeling Workshop.Abstract: 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)f0∈L1
, f0∈L∞ , and finite higher moment |v|qf∈L2 , q≫2 , gives rise to a global instantly smooth solution, satisfying entropy equality and relaxing exponentially fast.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-embracing-stochasticity-in-electrochemical-modeling/?tab=overview Receive SMS online on sms24.me
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