Magneto-hydrodynamical model for plasma

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Abstract

Based on the Newton’s second law and the Maxwell equations for the electromagnetic field, we establish a new 3-D incompressible magneto-hydrodynamics model for the motion of plasma under the standard Coulomb gauge. By using the Galerkin method, we prove the existence of a global weak solution for this new 3-D model.

Keywords

Maxwell equations Plasma Coulomb gauge Magneto-hydrodynamics Galerkin method 

Mathematics Subject Classifications

76W05 35Q61 82D10 35Q30 35Q35 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsSichuan UniversityChengduPeople’s Republic of China

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