Luis Silvestre

activity

20232026

most citedThe Landau equation does not blow up

4 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.AP2026

Hölder gradient estimates for fractional $p$ -caloric functions

Davide Giovagnoli, David Jesus, Luis Silvestre

We establish interior $C^{1, α}$ regularity estimates, for some $α > 0$ , for fractional $p$ -caloric functions when $p$ is in the range $p \in (2, 2/ (1 - s))$ . As a consequence, we deduc…

math.AP2026

The entropy production is not always monotone for hard spheres or for Maxwell molecules

Luis Silvestre

In 1966, McKean asked whether the entropy production of the Boltzmann equation must be monotone decreasing in time. We show that this is not the case even in the space-homogeneous…

math.AP2026

The entropy production is not always monotone in the space-homogeneous Boltzmann equation

Luis Silvestre

We show an example of a function and a collision kernel for which the entropy production increases in time when we flow it by the space-homogeneous Boltzmann equation. The collisio…

Hölder gradient estimates for fractional p-caloric functions

The entropy production is not always monotone for hard spheres or for Maxwell molecules

The entropy production is not always monotone in the space-homogeneous Boltzmann equation

Hölder gradient estimates for fractional $p$ -caloric functions