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arXiv · 2008.12943

Kac's Process with Hard Potentials and a Moderate Angular Singularity

Daniel Heydecker
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Abstract

We 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 convergence of the particle system in the limit $N\rightarrow \infty$.

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Daniel Heydecker. 2020-08-29. Kac's Process with Hard Potentials and a Moderate Angular Singularity. https://doi.org/10.1007/s00205-022-01767-3.

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