Numerical weather prediction is a problem of mathematical physics. The compllicated flows in the atmosphere and oceans are modelled by the Navier-Stokes based equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equatotic methods, variational principles and conservation laws to construct models of the dominaat lage-scale flows that control our weather.

1. A view of the equations of meteorological dynamics and various appoximations
2. Extended-goestrophic Euler-Poincare models for mesoscale oceanographic flow
3. Fast singular oscillating limits of stably-stratified 3D Euler and Navier-Stokes equations and ageostrophic wave fronts
4. New mathematical developments in atmosphere and ocean dynamics, and their application to computer simulations
5. Rearrangements of functions with applications to meteorology and ideal fluid flow
6. Statistical methods in atmospheric dynamics: Probability metircs and discrepancy measures as a means of defining balance