• Corpus ID: 119139840

# Nonlinear Maxwell-Schroedinger system and Quantum Magneto-Hydrodynamics in 3D

@article{Antonelli2017NonlinearMS,
title={Nonlinear Maxwell-Schroedinger system and Quantum Magneto-Hydrodynamics in 3D},
author={Paolo Antonelli and M. D'amico and Pierangelo Marcati},
journal={arXiv: Analysis of PDEs},
year={2017}
}
• Published 2 February 2017
• Mathematics
• arXiv: Analysis of PDEs
Motivated by some models arising in quantum plasma dynamics, in this paper we study the Maxwell-Schr\"odinger system with a power-type nonlinearity. We show the local well-posedness in $H^2(\mathbb{R}^3)\times H^{3/2}(\mathbb{R}^3)$ and the global existence of finite energy weak solutions, these results are then applied to the analysis of finite energy weak solutions for Quantum Magnetohydrodynamic systems.
3 Citations
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• Mathematics
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• 2019
In this paper, we are interested in standing waves of the nonlinear Schrodinger equation coupled with the Maxwell equation. Our aim is to formulate the orbital stability of standing waves in the full
Time Global Finite-Energy Weak Solutions to the Many-Body Maxwell–Pauli Equations
We study the quantum mechanical many-body problem of $$N \ge 1$$ N ≥ 1 non-relativistic electrons with spin interacting with their self-generated classical electromagnetic field and $$K \ge 0$$ K ≥ 0

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