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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.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, Sichuan, People’s Republic of China

    Ruikuan Liu & Jiayan Yang

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  1. Ruikuan Liu
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  2. Jiayan Yang
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Correspondence to Jiayan Yang.

Additional information

Ruikuan Liu: Supported by NSFC (11771306) and NSFC (11401479).

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Liu, R., Yang, J. Magneto-hydrodynamical model for plasma. Z. Angew. Math. Phys. 68, 114 (2017). https://doi.org/10.1007/s00033-017-0861-1

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  • DOI: https://doi.org/10.1007/s00033-017-0861-1

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