Fast Wave Averaging for the Equatorial Shallow Water Equations

  title={Fast Wave Averaging for the Equatorial Shallow Water Equations},
  author={Alexandre Dutrifoy and Andrew Majda},
  • Alexandre Dutrifoy, Andrew Majda
  • Published 2006
The equatorial shallow water equations in a suitable limit are shown to reduce to zonal jets as the Froude number tends to zero. This is a theorem of a singular limit with a fast variable coefficient due to the vanishing of the Coriolis force at the equator. Although it is not possible to get uniform estimates in classical Sobolev spaces (other than L) by differentiating the system, a new method exploiting the particular structure of the fast coefficient leads to uniform estimates in slightly… CONTINUE READING


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