3 papers
math.AP2026
Nonlinear kinetic Fokker-Planck equations as gradient flows of the free energy
Giovanni Brigati, Guillaume Carlier, Jean Dolbeault +1
We consider nonhomogeneous kinetic equations that involve a free transport operator and a diffusion of porous medium type acting on velocities. The main novelty is a gradient flow…
math.AP2025
Logarithmic Sobolev inequalities: a review on stability and instability results; logarithmic uncertainty principle
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
In this paper, we review recent results on stability and instability in logarithmic Sobolev inequalities, with a particular emphasis on strong norms. We consider several versions o…
math.AP2024
Stability for the logarithmic Sobolev inequality
Giovanni Brigati, Jean Dolbeault, Nikita Simonov
This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.