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- W4304111899 abstract "We use a probabilistic approach to study the rate of convergence to equilibrium for a collisionless (Knudsen) gas in dimension equal to or larger than 2. The use of a coupling between two stochastic processes allows us to extend and refine, in total variation distance, the polynomial rate of convergence given in [AG11] and [KLT13]. This is, to our knowledge, the first quantitative result in collisionless kinetic theory in dimension equal to or larger than 2 that does not require any symmetry of the domain, nor a monokinetic regime. Our study is also more general in terms of reflection at the boundary: we allow for rather general diffusive reflections and for a specular reflection component." @default.
- W4304111899 created "2022-10-11" @default.
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- W4304111899 date "2019-10-07" @default.
- W4304111899 modified "2023-09-27" @default.
- W4304111899 title "A coupling approach for the convergence to equilibrium for a collisionless gas" @default.
- W4304111899 doi "https://doi.org/10.48550/arxiv.1910.02739" @default.
- W4304111899 hasPublicationYear "2019" @default.
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