# Lagrangian Solutions of Semigeostrophic Equations in Physical Space

@article{Cullen2006LagrangianSO, title={Lagrangian Solutions of Semigeostrophic Equations in Physical Space}, author={Michael Cullen and Mikhail Feldman}, journal={SIAM J. Math. Analysis}, year={2006}, volume={37}, pages={1371-1395} }

- Published 2006 in SIAM J. Math. Analysis
DOI:10.1137/040615444

The semigeostrophic equations are a simple model of large-scale atmosphere/ocean flows, where ’large-scale’ is defined to mean that the flow is rotation-dominated, [4]. They are also accurate in the case where one horizontal scale becomes small, allowing them to describe weather fronts and jet streams. Previous work by J.-D. Benamou and Y. Brenier, [2], and Cullen and Gangbo, [5], and Cullen and Maroofi, [6] proves that the semigeostrophic equations can be solved in the case respectively of 3… CONTINUE READING

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#### References

##### Publications referenced by this paper.

Showing 1-10 of 11 references

## Transport equation and Cauchy problem for BV vector fields

View 6 Excerpts

Highly Influenced

## Polar factorization and monotone rearrangement of vector-valued functions

View 6 Excerpts

Highly Influenced

## A variational approach for the 2-D semi-geostrophic shallow water equations

View 11 Excerpts

Highly Influenced

## Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge-Ampère/Transport Problem

View 9 Excerpts

Highly Influenced

## Parcel stability and its relation to semi-geostrophic theory

View 5 Excerpts

Highly Influenced

## An extended Lagrangian theory of semi-geostrophic frontogenesis

View 5 Excerpts

Highly Influenced

## The fully compressible semi-geostrophic system from meteorology

View 3 Excerpts

## On the accuracy of the semi-geostrophic approximation

View 1 Excerpt