Thu, 19 Jun 2025
12:00
C6

Local behaviour of solutions to non-local kinetic equations

Amélie Loher
(University of Cambridge)
Abstract

We will discuss local regularity properties for solutions to non-local equations naturally arising in kinetic theory. We will focus on the Strong Harnack inequality for global solutions to a non-local kinetic equation in divergence form. We will explain the connection to the Boltzmann equation and we will mention a few consequences on the asymptotic behaviour of the solutions.

Later this month, the Academy for the Mathematical Sciences will invite applications and nominations for its first cohort of Fellows. A crucial step in that process is the appointment of a group of selectors who will be jointly responsible for the Fellows' selection.

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