Quantitative uniform propagation of chaos for maxwell molecules
Author
dc.contributor.author
Cortez, Roberto
Author
dc.contributor.author
Fontbona Torres, Joaquín
Admission date
dc.date.accessioned
2018-08-02T15:07:14Z
Available date
dc.date.available
2018-08-02T15:07:14Z
Publication date
dc.date.issued
2018
Cita de ítem
dc.identifier.citation
Commun. Math. Phys. 357, 913–941 (2018)
es_ES
Identifier
dc.identifier.other
10.1007/s00220-018-3101-4
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/150586
Abstract
dc.description.abstract
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
es_ES
Patrocinador
dc.description.sponsorship
BASAL-Conicyt Center for Mathematical Modeling (CMM)
Mecesup UCH0607
ICM Millennium Nucleus
NC120062
Fondecyt Postdoctoral Proyect
3160250
Fondecyt
1150570
BASAL-Conicyt CMM