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Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations

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Abstract

The combined quasi-neutral and non-relativistic limit of compressible Navier-Stokes-Maxwell equations for plasmas is studied. For well-prepared initial data, it is shown that the smooth solution of compressible Navier-Stokes-Maxwell equations converges to the smooth solution of incompressible Navier-Stokes equations by introducing new modulated energy functional.

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Authors and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    JianWei Yang

  2. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China

    JianWei Yang

  3. College of Applied Sciences, Beijing University of Technology, Beijing, 100022, China

    Shu Wang

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  1. JianWei Yang
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  2. Shu Wang
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Correspondence to JianWei Yang.

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Yang, J., Wang, S. Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations. Sci. China Math. 57, 2153–2162 (2014). https://doi.org/10.1007/s11425-014-4792-4

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  • DOI: https://doi.org/10.1007/s11425-014-4792-4

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