2023
DOI: 10.1112/blms.12977
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Quantitative rates of convergence to equilibrium for the degenerate linear Boltzmann equation on the torus

Josephine Evans,
Iván Moyano

Abstract: We study the linear relaxation Boltzmann equation on the torus with a spatially varying jump rate which can be zero on large sections of the domain. In Bernard and Salvarani (Arch. Ration. Mech. Anal. 208 (2013), no. 3, 977–984), Bernard and Salvarani showed that this equation converges exponentially fast to equilibrium if and only if the jump rate satisfies the geometric control condition of Bardos, Lebeau and Rauch. Han‐Kwan and Léautaud showed a more general result for linear Boltzmann equations under the a… Show more

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