About fractional diffusion limits for linear kinetic equations (en J. Cavaillès)

par Emeric Bouin

mardi 16 déc. 2025, 11:15 → 12:15 Europe/Paris

J. Cavaillès

In this presentation, I will present results from works with Laura Kanzler and Clément Mouhot on a unified derivation of (potentially) fractional diffusion limits for linear kinetic equations preserving between one and three macroscopic quantities and for which the microscopic equilibrium has an algebraic decay. The result is based on a construction of quasi-eigenmodes, based on the study of spectral projectors or on the extension of an Ellis and Pisnky method to a fractional framework (which is a result of independent interest).