Ioakeim Ampatzoglou

activity

20182025

most citedGlobal well-posedness of a binary-ternary Boltzmann equation

18 citations · 55 across the 16 of their papers we have counts for

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math.AP2025

On the optimal local well-posedness of the wave kinetic equation in $L^{r}$

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 $L^{r}$ spaces with $2 \leq r \leq \infty.$ The proof…

math.AP2025

Moment-preserving Young's inequality for the hard potential Boltzmann gain operator

Ioakeim Ampatzoglou, 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…

On the optimal local well-posedness of the wave kinetic equation in Lr

Moment-preserving Young's inequality for the hard potential Boltzmann gain operator

On the optimal local well-posedness of the wave kinetic equation in $L^{r}$