The magneto-geostrophic equations: a survey
Susan Friedlander, Walter Rusin, and Vlad Vicol
TL;DR
This paper surveys recent mathematical results on the magneto-geostrophic equations, a model for Earth's geodynamo and core turbulence, highlighting current understanding and open problems in the field.
Contribution
It provides a comprehensive review of recent analytical findings on the magneto-geostrophic equations and outlines unresolved questions for future research.
Findings
Analysis of the well-posedness of MG equations
Identification of regimes with turbulent behavior
Open problems in mathematical understanding of MG dynamics
Abstract
We discuss recent results obtained by the authors, regarding the analysis of the magneto-geostrophic equation: a model proposed by Moffat and Loper to study the geodynamo and turbulence in the Earth's fluid core. We conclude this review by indicating some open problems around the MG equation, that remain to be addressed in the future.
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Taxonomy
TopicsGeomagnetism and Paleomagnetism Studies · Geophysics and Gravity Measurements · Characterization and Applications of Magnetic Nanoparticles