Decay estimates for large velocities in the Boltzmann equation without cut-off

Cyril Imbert (1) , Clément Mouhot (2) , Luis Silvestre (3)

1 DMA - Département de Mathématiques et Applications - ENS Paris
2 DPMMS - Department of Pure Mathematics and Mathematical Statistics
3 Department of Mathematics [Chicago]

We establish pointwise large velocity decay rates for the solution of the inhomogeneous Boltzmann equation without cutoff, under the assumption that three hydrodynamic quantities (mass, energy, entropy densities) stay under control.

Domaines: Equations aux dérivées partielles [math.AP]

Cyril Imbert, Clément Mouhot, Luis Silvestre. Decay estimates for large velocities in the Boltzmann equation without cut-off. 2018. ⟨hal-01766669v1⟩