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The gyrokinetic limit for the Plasma-Charge model in $\mathbb{R}^2$
- Publication Year :
- 2023
-
Abstract
- In this article, we investigate the gyrokinetic limit for the two-dimensional Vlasov-Poisson system with point charges. We show that the solution converges to a measure-valued solution of the Euler equation with a defect measure, which extends the results in [Miot, Nonlinearity, 2019] to the case of multi-point charges and removes the small condition $\sup_{0<\varepsilon<1}\|f_{\varepsilon}^0\|_{L^1}<1$.<br />Comment: 23 pages
- Subjects :
- Mathematics - Analysis of PDEs
35Q83, 82D10, 35B40, 35A24
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2307.13442
- Document Type :
- Working Paper