Junior Analysis Seminar: Oscar de Wit (Cambridge)
Active particle models from the PDE perspective
Active particle models have interesting properties, such as having many different types of stationary solutions. To study this one can use a mean field limit equation giving rise to a kinetic description. Mean fields for active particles usually do not evolve according to a typical gradient structure as ‘passive’ particles do. I will discuss an active particle mean field model for a collective of ants. I will show numerical and theoretical results for this particular model. This will cover the stability of the homogeneous solution and the approximation of stationary solutions. I also draw an analogy with questions that have been solved for ‘passive’ particle models such as the Vlasov-Poisson-Fokker-Planck equation.
Please note that the seminar will take place in person in room 140 of Huxley Building.
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