The Vlasov equation cannot fully account for collisionless shocks

Fuente: arXiv
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Main Author: Bret, Antoine
Format: Preprint
Published: 2025
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author Bret, Antoine
author_facet Bret, Antoine
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_01548
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Vlasov equation cannot fully account for collisionless shocks
Bret, Antoine
Plasma Physics
High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
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.
title The Vlasov equation cannot fully account for collisionless shocks
topic Plasma Physics
High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2506.01548