Article ID Journal Published Year Pages File Type
8900649 Applied Mathematics and Computation 2018 11 Pages PDF
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(μ−12) and a quantitative spectral mapping theorem developed by Gualdani et al. (2017).
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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