The Energy Conservation of Vlasov-Poisson Systems
We prove that energy conservation holds for weak solutions to classical Vlasov-Poisson systems with proper regularity. In particular, there exists a solution that conserves energy with | v | m f 0 ∈ L x , v 1 for m > 9/4.
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| Veröffentlicht in: | Acta mathematica scientia 2023-03, Vol.43 (2), p.668-674 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We prove that energy conservation holds for weak solutions to classical Vlasov-Poisson systems with proper regularity. In particular, there exists a solution that conserves energy with
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v
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m
f
0
∈
L
x
,
v
1
for
m
> 9/4. |
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| ISSN: | 0252-9602 1572-9087 |
| DOI: | 10.1007/s10473-023-0212-6 |