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arXiv · 2502.03630

The Lagrangian approach to the compressible primitive equations

Matthias Hieber·Yoshiki Iida·Arnab Roy·Tarek Zöchling
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Abstract

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 Lam\'{e} 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.

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Matthias Hieber, Yoshiki Iida, Arnab Roy, Tarek Zöchling. 2025-02-05. The Lagrangian approach to the compressible primitive equations. https://arxiv.org/abs/2502.03630

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