期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 357, 期 3, 页码 913-941出版社
SPRINGER
DOI: 10.1007/s00220-018-3101-4
关键词
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资金
- BASAL-Conicyt Center for Mathematical Modeling (CMM) [Mecesup UCH0607]
- ICM Millennium Nucleus [NC120062]
- Fondecyt Postdoctoral Proyect [3160250]
- Fondecyt [1150570]
- BASAL-Conicyt CMM
We prove propagation of chaos at explicit polynomial rates in Wasserstein distance for Kac's N-particle system associated with the spatially homogeneous Boltzmann equation for Maxwell molecules. Our approach is mainly based on novel probabilistic coupling techniques. Combining them with recent stabilization results for the particle system we obtain, under suitable moments assumptions on the initial distribution, a uniform-in-time estimate of order almost for .
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