Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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About Kac's Program in Kinetic Theory
In this Note we present the main results from the recent work arxiv:1107.3251, which answers several conjectures raised fifty years ago by Kac. There Kac introduced a many-particle stochastic process (now denoted as Kac's ... -
On measure solutions of the Boltzmann equation, part I: Moment production and stability estimates
(2012-02-15)The spatially homogeneous Boltzmann equation with hard potentials is considered for measure valued initial data having finite mass and energy. We prove the existence of weak measure solutions, with and without angular ... -
Analysis of spectral methods for the homogeneous Boltzmann equation
The development of accurate and fast algorithms for the Boltz mann collision integral and their analysis represent a challenging problem in scientific computing and numerical analysis. Recently, several works were ... -
Hypocoercivity for kinetic equations with linear relaxation terms
(2009-04-02)This note is devoted to a simple method for proving hypocoercivity of the solutions of a kinetic equation involving a linear time relaxation operator, i.e. the construction of an adapted Lyapunov functional satisfying ...
