Email this article Existence and Nonlinear Stability of Stationary States for the Magnetic Schrödinger–Poisson System
- Authors: Barbaroux J.1, Vougalter V.2
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Affiliations:
- Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
- University of Toronto
- Issue: Vol 219, No 6 (2016)
- Pages: 874-898
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238724
- DOI: https://doi.org/10.1007/s10958-016-3152-z
- ID: 238724
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Abstract
We study stationary states of the magnetic Schrödinger–Poisson system in the repulsive (plasma physics) Coulomb case. We prove the existence and nonlinear stability for a wide class of stationary states by using the energy-Casimir method. We generalize the known global well-posedness result for the Schrödinger–Poisson system to the case where a magnetic field is involved.
About the authors
J.-M. Barbaroux
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
Author for correspondence.
Email: barbarou@univ-tln.fr
France, Campus de Luminy, Case 907, 163 Avenue de Luminy, Marseille cedex 9, 13288
V. Vougalter
University of Toronto
Email: barbarou@univ-tln.fr
Canada, 27 King’s College Circle, Toronto, Ontario, M5S 1A1
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