Reduced models for fluid flows with strong constraints

@article{Julien2007ReducedMF,
  title={Reduced models for fluid flows with strong constraints},
  author={Keith A. Julien and Edgar Knobloch},
  journal={Journal of Mathematical Physics},
  year={2007},
  volume={48},
  pages={065405-065405}
}
The presence of a dominant balance in the equations for fluid flow can be exploited to derive an asymptotically exact but simpler set of governing equations. These permit semianalytical and/or numerical explorations of parameter regimes that would otherwise be inaccessible to direct numerical simulation. The derivation of the resulting reduced models is illustrated here for (i) rapidly rotating convection in a plane layer, (ii) convection in a strong magnetic field, and (iii) the… 
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