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math.NA2026
Foundations of Global Ocean Climate Modelling at all Scales
Peter Korn
We introduce a computational method that extends the range of current global ocean climate models to non-hydrostatic scales, and establishes a convection resolving ocean model. The…
math.AP2026
A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations
Peter Korn
The compressible barotropic Navier--Stokes equations in vector-invariant form preserve the vorticity structure of the system and underlie modern atmospheric and ocean dynamical cor…