Derivation of the inviscid compressible Primitive Equations

Primitive Equations (PE) are an important model which is widely used in the geophysical research and the mathematical analysis. In the previous results, people derive PE from the Navier-Stokes or the Euler system by an asymptotic analysis or a numerical approximation. Here, we give a rigorous mathematical derivation of inviscid compressible Primitive Equations from the Euler system in a periodic channel, utilizing the relative entropy inequality.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper rigorously derives the inviscid compressible Primitive Equations from the Euler system in a periodic channel by utilizing the relative entropy inequality. The Primitive Equations play an important role in geophysical research and mathematical analysis.