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<p>This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lamé and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity.</p>

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The hydrostatic Lagrangian approach to the compressible primitive equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年4月12日

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  • Matthias Hieber,
  • Yoshiki Iida,
  • Arnab Roy,
  • Tarek Zöchling

摘要

This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hydrostatic Lamé and Stokes operators. Local strong well-posedness for large data and global strong well-posedness for small data are established under various assumptions on the pressure law, both in the presence and absence of gravity.