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Passing to the limit in fuzzy Boltzmann equations

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arxiv 2505.05838 v1 pith:XJFND5CX submitted 2025-05-09 math.AP

Matthias Erbar , Zihui He This is my paper · ORCID
classification math.AP
keywords boltzmannequationsfuzzykernelsolutionsspatialcollisionsconverge
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We study a fuzzy Boltzmann equation, where collisions are delocalised and modulated by a spatial kernel. We show that as the spatial kernel converges to a delta distribution, the solutions to these equations converge to renormalised solutions of the inhomogeneous Boltzmann equations.

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  1. The fuzzy Landau equation: global well-posedness and Fisher information

    math.AP 2025-07 conditional novelty 6.0 of 10

    The fuzzy Landau equation has unique global smooth solutions for moderately soft potentials, and its spatial Fisher information decreases monotonically over time.

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