Boundary hypoelliptic regularization in kinetic equations
- 👤 Speaker: Yuzhe Zhu (University of Cambridge)
- 📅 Date & Time: Monday 07 November 2022, 14:00 - 15:00
- 📍 Venue: CMS, MR13
Abstract
We consider the kinetic Fokker-Planck equation with rough coefficients, which is a linear counterpart of the Landau equation and is formally hypoelliptic of type II in Hörmander’s terminology. Complementing the equation with inflow or reflection boundary conditions in a bounded domain, we will discuss the renormalization and regularization properties of the solutions up to the boundary.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Monday 07 November 2022, 14:00-15:00