Abstract
AbstractWe investigate Kac’s many-particle stochastic model of gas dynamics in the case of hard potentials with a moderate angular singularity, and show that the noncutoff particle system can be obtained as the limit of cutoff systems, with a rate independent of the number of particles N. As consequences, we obtain a wellposedness result for the corresponding Boltzmann equation and propagation of chaos in the many-particle limit $$N\rightarrow \infty $$
N
→
∞
.
Funder
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Cited by
1 articles.
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