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arXiv · 2607.26847

A Coulomb-Corrected Labeled Energy and Growth Estimates for the Vlasov-Poisson System

Zhaopeng Wang
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Abstract

This paper introduces a Coulomb-corrected labeled energy for smooth compactly supported solutions of the three-dimensional repulsive Vlasov--Poisson system. The resulting identity replaces the direct electric-field term along a characteristic by a weighted singular integral, which can be estimated more effectively. Thus this structure yields improved bounds on the velocity support and the decay of the electric field.

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Zhaopeng Wang. 2026-07-29. A Coulomb-Corrected Labeled Energy and Growth Estimates for the Vlasov-Poisson System. https://arxiv.org/abs/2607.26847

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