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<p>In this paper we study the hydrostatic approximation of the Navier-Stokes-alpha (NS-<i>α</i>) small initial data in appropriate analytic function spaces. We also justify this approximation by proving the convergence of the Navier-Stokes-alpha system towards its hydrostatic limit.</p>

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Hydrostatic approximation of the Navier-Stokes-alpha model in a thin strip

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Léo Glangetas,
  • Van-Sang Ngo,
  • El Mehdi Said

摘要

In this paper we study the hydrostatic approximation of the Navier-Stokes-alpha (NS-α) small initial data in appropriate analytic function spaces. We also justify this approximation by proving the convergence of the Navier-Stokes-alpha system towards its hydrostatic limit.