# 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} }

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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