Global weak solutions to the inviscid 3D Quasi-Geostrophic equation
Marjolaine Puel, Alexis F. Vasseur
TL;DR
This paper proves the existence of global weak solutions for the inviscid 3D quasi-geostrophic equation, which models Earth's surface temperature evolution and is important in geophysics and meteorology.
Contribution
It establishes the mathematical existence of solutions for a key geophysical model, advancing theoretical understanding.
Findings
Existence of global weak solutions proved
Applicable to modeling Earth's surface temperature
Enhances mathematical foundation of geophysical equations
Abstract
In this article, the authors prove the existence of global weak solutions to the inviscid three-dimensional quasi-geostrophic equation. This equation models the evolution of the temperature on the surface of the earth. It is widely used in geophysics and meteorology.
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