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math.AP2025
Conditional integrability and stability for the homogeneous Boltzmann equation with very soft potentials
Ricardo J. Alonso, Pierre Gervais, Bertrand Lods
We introduce a practical criterion that justifies the propagation and appearance of -norms for the solutions to the spatially homogeneous Boltzmann equation with very soft p…
math.AP2024
Convergence rate to equilibrium for conservative scattering models on the torus: a new tauberian approach
Bertrand Lods, Mustapha Mokhtar-Kharroubi
The object of this paper is to provide a new and systematic tauberian approach to quantitative long time behaviour of -semigroups in…
math.AP2024
Hydrodynamic limits for kinetic equations preserving mass, momentum and energy: a spectral and unified approach in the presence of a spectral gap
Pierre Gervais, Bertrand Lods
Triggered by the fact that, in the hydrodynamic limit, several different kinetic equations of physical interest all lead to the same Navier-Stokes-Fourier system, we develop in the…