Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system

Abstract : The article is devoted to the studies of the stationary states of the magnetic Schrödinger-Poisson system in the repulsive (plasma physics) Coulomb case. Particularly, we prove the existence and the nonlinear stability of a wide class of stationary states by virtue of the energy-Casimir method. We generalize the global well-posedness result for the Schrödinger-Poisson system obtained by Brezzi and Markowich to the case when a magnetic field is turned on.
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https://hal.archives-ouvertes.fr/hal-01286758
Contributor : Jean-Marie Barbaroux <>
Submitted on : Friday, March 11, 2016 - 1:09:20 PM
Last modification on : Wednesday, October 10, 2018 - 9:48:01 PM

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Jean-Marie Barbaroux, Vitali Vougalter. Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system. Journal of Mathematical Sciences, Springer Verlag (Germany), 2016, 219 (6), pp.874-898. ⟨10.1007/s10958-016-3152-z⟩. ⟨hal-01286758⟩

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