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arXiv · 2507.08689

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

Maria Pia Gualdani·Nestor Guillen·Nataša Pavlović·Maja Tasković·Nicola Zamponi
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Abstract

We study a fuzzy variant of the inhomogeneous Landau equation and establish global-in-time existence and uniqueness of smooth solutions for moderately soft potentials. The spatial delocalization introduced in the collision operator not only enhances regularity and prevents singularity formation, but also reveals additional structural properties of the model. In particular, we show that several forms of the Fisher information decay monotonically or remain uniformly bounded in time.

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Maria Pia Gualdani, Nestor Guillen, Nataša Pavlović, Maja Tasković, Nicola Zamponi. 2025-07-11. The fuzzy Landau equation: global well-posedness and Fisher information. https://arxiv.org/abs/2507.08689

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