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Rigorous derivation of the X-Z semigeostrophic equations
Yann Brenier and Mike Cullen
Source: Commun. Math. Sci. Volume 7, Number 3 (2009), 779-784.
Abstract
We prove that smooth solutions of the semigeostrophic equations in the incompress- ible x−z setting can be derived from the Navier-Stokes equations with the Boussinesq approximation.
Primary Subjects: 86A10, 35Q86, 76B03, 76B60, 86A05
Keywords: Semigeostrophic; Navier-Stokes equations; asymptotic analysis
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Permanent link to this document: http://projecteuclid.org/euclid.cms/1256562823
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Communications in Mathematical Sciences
