1. Quasineutral limit for Vlasov–Poisson via Wasserstein stability estimates in higher dimension
- Author
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Mikaela Iacobelli, Daniel Han-Kwan, Centre de Mathématiques Laurent Schwartz (CMLS), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Department of Pure Mathematics and Mathematical Statistics (DPMMS), Faculty of mathematics Centre for Mathematical Sciences [Cambridge] (CMS), and University of Cambridge [UK] (CAM)-University of Cambridge [UK] (CAM)
- Subjects
Work (thermodynamics) ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,Poisson distribution ,01 natural sciences ,Stability (probability) ,010101 applied mathematics ,symbols.namesake ,Dimension (vector space) ,Physics::Plasma Physics ,Physics::Space Physics ,symbols ,[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] ,Limit (mathematics) ,0101 mathematics ,ComputingMilieux_MISCELLANEOUS ,Analysis ,Mathematics - Abstract
This work is concerned with the quasineutral limit of the Vlasov–Poisson system in two and three dimensions. We justify the formal limit for very small but rough perturbations of analytic initial data, generalizing the results of [12] to higher dimension.
- Published
- 2017
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