Rigorous derivation of the X-Z semigeostrophic equations

Brenier, Yann; Cullen, Mike

Commun. Math. Sci., Tome 7 (2009) no. 1, p. 779-784 / Harvested from Project Euclid

Résumé

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.

Publié le : 2009-09-15
Classification: Semigeostrophic, Navier-Stokes equations, asymptotic analysis, 86A10, 35Q86, 76B03, 76B60, 86A05

@article{1256562823,
     author = {Brenier, Yann and Cullen, Mike},
     title = {Rigorous derivation of the X-Z semigeostrophic equations},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 779-784},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256562823}
}

Brenier, Yann; Cullen, Mike. Rigorous derivation of the X-Z semigeostrophic equations. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  779-784. http://gdmltest.u-ga.fr/item/1256562823/