Motivated by some models arising in quantum plasma dynamics, in this paper we study the Maxwell-Schrodinger system with a power-type nonlinearity. We show the local well-posedness in H-2(R-3) x H-3/2(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.

Nonlinear Maxwell-Schrodinger system and quantum magneto-hydrodynamics in 3-D

Antonelli, P;D'Amico, M;Marcati, P
2017

Abstract

Motivated by some models arising in quantum plasma dynamics, in this paper we study the Maxwell-Schrodinger system with a power-type nonlinearity. We show the local well-posedness in H-2(R-3) x H-3/2(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.
Nonlinear Maxwell-Schrodinger; Quantum magnetohydrodynamics; finite energy solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/1421
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