The Vlasov Equation Cannot Fully Account for Collisionless Shocks

ABSTRACT It is argued that the Vlasov equation cannot fully account for collisionless shocks since it conserves entropy, while a shock does not. A rigorous mathematical theory of collisionless shocks could require working at the Klimontovich level.

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Publication Details

Journal
Contributions to Plasma Physics
Published
2025-06-13
DOI
https://doi.org/10.1002/ctpp.70031
Primary Topic
Gamma-ray bursts and supernovae
Type
article
Field-Weighted Citation Impact
0.00

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article

The Vlasov Equation Cannot Fully Account for Collisionless Shocks

Antoine Bret
Contributions to Plasma Physics
Gamma-ray bursts and supernovae
article

The Vlasov Equation Cannot Fully Account for Collisionless Shocks

Antoine Bret
article en

Abstract

ABSTRACT It is argued that the Vlasov equation cannot fully account for collisionless shocks since it conserves entropy, while a shock does not. A rigorous mathematical theory of collisionless shocks could require working at the Klimontovich level.

Contributions to Plasma PhysicsVol. 65(7)
University of Castilla-La Mancha (ES)
Ministerio de Economía y Competitividad
Openalex Percentile: Top 91%
Gamma-ray bursts and supernovae
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The Vlasov Equation Cannot Fully Account for Collisionless Shocks — Antoine Bret · Contributions to Plasma Physics (2025) | TGRS Research Map | TGRS