## Mathematics applied to the climate system: outstanding challenges and recent progress

- Paul D. Williams, Michael J. P. Cullen, M. K. Davey, John M. Huthnance
- Philosophical transactions. Series A…
- 2013

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@article{Beare2013DiagnosisOB, title={Diagnosis of boundary-layer circulations.}, author={Robert J. Beare and Michael J. P. Cullen}, journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences}, year={2013}, volume={371 1991}, pages={20110474} }

- Published 2013 in Philosophical transactions. Series A…
DOI:10.1098/rsta.2011.0474

Diagnoses of circulations in the vertical plane provide valuable insights into aspects of the dynamics of the climate system. Dynamical theories based on geostrophic balance have proved useful in deriving diagnostic equations for these circulations. For example, semi-geostrophic theory gives rise to the Sawyer-Eliassen equation (SEE) that predicts, among other things, circulations around mid-latitude fronts. A limitation of the SEE is the absence of a realistic boundary layer. However, the… CONTINUE READING

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