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Title: Global existence of the three-dimensional viscous quantum magnetohydrodynamic model

The global-in-time existence of weak solutions to the viscous quantum Magnetohydrodynamic equations in a three-dimensional torus with large data is proved. The global existence of weak solutions to the viscous quantum Magnetohydrodynamic equations is shown by using the Faedo-Galerkin method and weak compactness techniques.
Authors:
 [1] ;  [2]
  1. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450045, Henan Province (China)
  2. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009-28, Beijing 100088 (China)
Publication Date:
OSTI Identifier:
22306074
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MAGNETOHYDRODYNAMICS; MATHEMATICAL SOLUTIONS; NUMERICAL ANALYSIS; QUANTUM MECHANICS; THREE-DIMENSIONAL CALCULATIONS; VISCOSITY