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<p>The incompressible Navier–Stokes–Maxwell system with solenoidal Ohm’s law can be viewed as the asymptotic limit of the two-fluid incompressible Navier–Stokes–Maxwell system as the momentum transfer coefficient tends to zero (see Arsénio et al. in Arch. Ration. Mech. Anal. 216 (3):767–812, 2015). We prove this limit rigorously without loss of regularity by using the idea of frequency envelope.</p>

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On the convergence to the Navier–Stokes–Maxwell system with solenoidal Ohm’s law

  • 期刊论文

  • 发表日期：

    2025年7月28日

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  • Zihua Guo,
  • Zeng Zhang

摘要

The incompressible Navier–Stokes–Maxwell system with solenoidal Ohm’s law can be viewed as the asymptotic limit of the two-fluid incompressible Navier–Stokes–Maxwell system as the momentum transfer coefficient tends to zero (see Arsénio et al. in Arch. Ration. Mech. Anal. 216 (3):767–812, 2015). We prove this limit rigorously without loss of regularity by using the idea of frequency envelope.