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Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum

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Abstract

We study the initial boundary value problem to the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in a bounded annulus Ω of ℝ3. And a result on the existence and uniqueness of global spherically symmetric classical solutions is obtained. Here the initial data could be large and initial vacuum is allowed.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China

    GuangYi Hong, XiaoFeng Hou, HongYun Peng & ChangJiang Zhu

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  1. GuangYi Hong
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  2. XiaoFeng Hou
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  3. HongYun Peng
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Correspondence to ChangJiang Zhu.

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Hong, G., Hou, X., Peng, H. et al. Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum. Sci. China Math. 57, 2463–2484 (2014). https://doi.org/10.1007/s11425-014-4896-x

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