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arxiv: 1601.06339 · v2 · pith:VM745FRInew · submitted 2016-01-24 · 🧮 math.AP

Magneto-hydrodynamical Model for Plasma

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keywords equationsmodelplasmacoulombelectromagneticestablishexistencefields
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Based on the Newton's second law and the Maxwell equations for the electromagnetic fields, we establish a new 3D incompressible magneto-hydrodynamics(MHD) equations for the motion of plasma under the standard Coulomb gauge. By using the Galerkin method, we prove a result on the existence of weak solutions for the new model.

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