works on
asymptotic analysis 1rotating fluids 1shallow water equations 1singular limits 1spherical geometry 1

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1 paper

math.AP2026

Singular Limits of the Shallow Water Equations on the Sphere

Bin Cheng, Steve Schochet

The paper studies how solutions of the slightly compressible shallow water equations on a rapidly rotating sphere behave when the Froude and Rossby numbers become small, proving un…