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arXiv · 1702.00751

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

Paolo Antonelli·Michele D'Amico·Pierangelo Marcati
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Abstract

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.

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Paolo Antonelli, Michele D'Amico, Pierangelo Marcati. 2017-02-02. Nonlinear Maxwell-Schroedinger system and Quantum Magneto-Hydrodynamics in 3D. https://arxiv.org/abs/1702.00751

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