3 papers
math.AP2026
On the optimal local well-posedness of the wave kinetic equation in
Ioakeim Ampatzoglou, Tristan Léger
In this paper, we give a unified treatment of the local well-posedness for the wave kinetic equation in almost critical weighted spaces with The proof…
math.AP2025
Moment-preserving Young's inequality for the hard potential Boltzmann gain operator
Ioakeim Ampatzoglou, Tristan Léger, Tristan Léger
We prove a new moment-preserving Young's inequality for the gain operator of the Boltzmann equation with hard potentials, including the critical case of hard-spheres. Our approach…
math.AP2024
On the ill-posedness of kinetic wave equations
Ioakeim Ampatzoglou, Tristan Léger
In this article we identify a sharp ill-posedness/well-posedness threshold for kinetic wave equations (KWE) derived from quasilinear Schrödinger models. We show well-posedness usi…