Communications in Mathematical Sciences

Volume 5 (2007)

Supp. 1

Supplemental Issue 1

Quantitative Linearized Study of the Boltzmann Collision Operator and Applications

Pages: 73 – 86



Clément Mouhot


We present recent results about the quantitative study of the linearized Boltzmann collision operator, and its application to the study of the trend to equilibrium for the spatially homogeneous Boltzmann equation for hard spheres.


Boltzmann equation; spatially homogeneous; linearized Boltzmann collision operator; spectrum; spectral gap; explicit; trend to equilibrium; rate of convergence

2010 Mathematics Subject Classification

76P05, 82B40, 82C40, 82D05

Full Text (PDF format)