Quantitative lower bound for solutions to the Boltzmann equation in non-convex domains
Abstract
In this article, we study the continuous mild solutions to the Boltzmann equation in a bounded spatial domain, under either angular cutoff assumption or non-cutoff assumption. Without assuming convexity of the spatial domain, we establish a Maxwellian lower bound in the cutoff case, and a weaker-than-Maxwellian lower bound for the non-cutoff case. This extends the results of Bri1,Bri2, where the convexity of the domain was required.
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