par Dutrifoy, Alexandre 
Référence Archive for rational mechanics and analysis, 171, 3, page (417-449)
Publication Publié, 2004-03
Référence Archive for rational mechanics and analysis, 171, 3, page (417-449)
Publication Publié, 2004-03
Article révisé par les pairs
| Résumé : | Taking advantage of dispersive effects - which supposes a flow extended in the whole space - a sluggish convergence of the solutions of the Boussinesq equations to a solution of the quasigeostrophic system, when the Rossby number tends to zero, can be proved under weaker assumptions on the initial data than usual. In particular, no assumption of well-preparedness is needed. Two examples are given, both involving fields with striated potential vorticity. A result of convergence to a vortex patch is deduced from one of them. |
