Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900649 | Applied Mathematics and Computation | 2018 | 11 Pages |
Abstract
In this paper, we consider the asymptotic behavior of solutions to the linear spatially homogeneous Boltzmann equation for hard potentials without angular cutoff. We obtain an optimal rate of exponential convergence towards equilibrium in a L1-space with a polynomial weight. Our strategy is taking advantage of a spectral gap estimate in the Hilbert space L2(μâ12) and a quantitative spectral mapping theorem developed by Gualdani et al. (2017).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Baoyan Sun,