Wednesday, Sep 30, 15:00-16:00, Zoom: Link

Speaker: Sameer Iyer, University of California, Davis
Title: Reversal in the Stationary Prandtl Equations
Abstract: We discuss some results about the stationary Prandtl system, in which we investigate reversal and recirculation. Reversal describes the solution after the Goldstein singularity, and is characterized by spatio-temporal regions in which u>0 and u<0. The classical point of view of regarding the Prandtl equations as an evolution x completely breaks down. Instead, we view the problem as a quasilinear, mixed-type, free-boundary problem. Joint work with Nader Masmoudi.
———————————————————————————————————–

Wednesday, Oct 07, 15:00-16:00, Zoom: Link

Speaker: TBA
Title: TBA
Abstract: TBA
———————————————————————————————————–

Wednesday, Oct 14, 15:00-16:00, Zoom: Link

Speaker: Dante Kalise, Imperial College London
Title: Stabilising Feedback Laws for Mean-Field Control and Global Optimisation
Abstract: We look at feedback control of large systems of interacting particles. In the mean-field limit, this becomes the stabilisation of McKean–Vlasov PDEs. When the free energy is non-convex, the target states may be unstable or reached only very slowly. We linearise the Wasserstein gradient flow around the target and act on its finitely many slow or unstable modes. This gives a Riccati feedback law that locally exponentially stabilises the full nonlinear dynamics, and it can be seen as a local convexification of the free energy.
The same idea applies to consensus-based optimisation (CBO), which is itself a McKean–Vlasov particle system whose target is the global minimiser. We treat global optimisation as an optimal stabilisation problem and add a stabilising feedback, obtained from the associated HJB equation, to the CBO dynamics. Convergence becomes faster and more robust, including in high dimensions.
———————————————————————————————————–

Wednesday, Oct 21, 15:00-16:00, Zoom: Link

Speaker: TBA
Title: TBA
Abstract: TBA
———————————————————————————————————–

Wednesday, Oct 28, 15:00-16:00, Zoom: Link

Speaker: TBA
Title: TBA
Abstract: TBA
———————————————————————————————————–

Wednesday, Nov 04, 15:00-16:00, Zoom: Link

Speaker: Phan Thanh Nam, LMU Munich
Title: TBA
Abstract: TBA
———————————————————————————————————–

Wednesday, Nov 11, 15:00-16:00, Zoom: Link

Speaker: TBA
Title: TBA
Abstract: TBA
———————————————————————————————————–

Wednesday, Nov 18, 15:00-16:00, Zoom: Link

Speaker: TBA
Title: TBA
Abstract: TBA
———————————————————————————————————–

Wednesday, Jan 20, 15:00-16:00, Zoom: Link

Speaker: Katy Craig, University of California, Santa Barbara
Title: TBA
Abstract: TBA
———————————————————————————————————–