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<p>The present paper deals with the Cauchy problem to a two-fluid plasma model with unequal viscosities in any dimension <i>N</i> ≥ 2. Employing the precise spectral analysis for the corresponding linearized system, we prove the global well-posedness provided that the initial data are close to a stable equilibrium state in critical functional framework which is not related to the energy space. Moreover, the optimal decay rates for the constructed global solution are also established.</p>

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Strong solution for bipolar compressible Navier-Stokes-Poisson system with unequal viscosities in Lp-framework

  • 期刊论文

  • 发表日期：

    2025年3月11日

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  • Zhigang Wu,
  • Fuyi Xu

摘要

The present paper deals with the Cauchy problem to a two-fluid plasma model with unequal viscosities in any dimension N ≥ 2. Employing the precise spectral analysis for the corresponding linearized system, we prove the global well-posedness provided that the initial data are close to a stable equilibrium state in critical functional framework which is not related to the energy space. Moreover, the optimal decay rates for the constructed global solution are also established.