Rigorous derivation of the X-Z semigeostrophic equations

We prove that smooth solutions of the semigeostrophic equations in the incompressible x−z setting can be derived from the Navier-Stokes equations with the Boussinesq approximation.

Keywords

Semigeostrophic, Navier-Stokes equations, asymptotic analysis

2010 Mathematics Subject Classification

35Q86, 76B03, 76B60, 86A05, 86A10

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Published 1 January 2009