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In this chapter, we study how relaxing the classical hydrostatic balance hypothesis affects theoretical aspects of the LU primitive equations well-posedness. We focus on models that sit between incompressible 3D LU Navier-Stokes equations and standard LU primitive equations, aiming for numerical manageability while capturing non-hydrostatic phenomena. Our main result concerns the well-posedness of a specific stochastic interpretation of the LU primitive equations.

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Some Properties of a Non-hydrostatic Stochastic Oceanic Primitive Equations Model

  • 会议论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Arnaud Debussche,
  • Etienne Mémin,
  • Antoine Moneyron

摘要

In this chapter, we study how relaxing the classical hydrostatic balance hypothesis affects theoretical aspects of the LU primitive equations well-posedness. We focus on models that sit between incompressible 3D LU Navier-Stokes equations and standard LU primitive equations, aiming for numerical manageability while capturing non-hydrostatic phenomena. Our main result concerns the well-posedness of a specific stochastic interpretation of the LU primitive equations.