467 citations · 2.6k across the 59 of their papers we have counts for
15 papers · 2 filters
Solving the Boltzmann equation in N log N
Francis Filbet, Clément Mouhot, Lorenzo Pareschi
In [C. Mouhot and L. Pareschi, "Fast algorithms for computing the Boltzmann collision operator," Math. Comp., to appear; C. Mouhot and L. Pareschi, C. R. Math. Acad. Sci. Paris, 33…
Quantitative linearized study of the Boltzmann collision operator and applications
Clément Mouhot
We present recent results [4, 28, 29] about the quantitative study of the linearized Boltzmann collision operator, and its application to the study of the trend to equilibrium for…
Fast algorithms for computing the Boltzmann collision operator
Clément Mouhot, Lorenzo Pareschi
The development of accurate and fast numerical schemes for the five fold Boltzmann collision integral represents a challenging problem in scientific computing. For a particular cla…
Quantitative lower bounds for the full Boltzmann equation, Part I: Periodic boundary conditions
Clément Mouhot
We prove the appearance of an explicit lower bound on the solution to the full Boltzmann equation in the torus for a broad family of collision kernels including in particular long-…
About estimates for the spatially homogeneous Boltzmann equation
Laurent Desvillettes, Clément Mouhot
For the homogeneous Boltzmann equation with (cutoff or non cutoff) hard potentials, we prove estimates of propagation of Lp norms with a weight (,…
Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
Clément Mouhot, Cédric Villani
We develop the regularity theory of the spatially homogeneous Boltzmann equation with cut-off and hard potentials (for instance, hard spheres), by (i) revisiting the Lp-theory to o…