Quasineutral limit for Vlasov–Poisson via Wasserstein stability estimates in higher dimension

Authors :: 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)
University of Cambridge [UK] (CAM)-University of Cambridge [UK] (CAM)
Source :: Journal of Differential Equations, Journal of Differential Equations, Elsevier, 2017, 263 (1), pp.1-25. ⟨10.1016/j.jde.2017.01.018⟩
Publication Year :: 2017
Publisher :: Elsevier BV, 2017.
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.

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

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