Lagrangian Solutions of Semigeostrophic Equations in Physical Space

  title={Lagrangian Solutions of Semigeostrophic Equations in Physical Space},
  author={Michael Cullen and Mikhail Feldman},
  journal={SIAM J. Math. Analysis},
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


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 11 references

Transport equation and Cauchy problem for BV vector fields

L. Ambrosio
View 6 Excerpts
Highly Influenced

Polar factorization and monotone rearrangement of vector-valued functions

Y. Brenier
Comm. Pure Appl. Math • 1991
View 6 Excerpts
Highly Influenced

Parcel stability and its relation to semi-geostrophic theory

G. J. Shutts, M.Cullen
J. Atmos. Sci., • 1987
View 5 Excerpts
Highly Influenced

An extended Lagrangian theory of semi-geostrophic frontogenesis

M. Cullen, R. J. Purser
J.Atmos. Sci., • 1984
View 5 Excerpts
Highly Influenced

The fully compressible semi-geostrophic system from meteorology

M. Cullen, H. Maroofi
Arch. Ration. Mech. Anal, • 2003
View 3 Excerpts

On the accuracy of the semi-geostrophic approximation

M. Cullen
Quart. J. Roy. Meteorol. Soc., • 2000
View 1 Excerpt

Measure theory and fine properties of functions. Studies in Advanced Mathematics

L. C. Evans, R. F. Gariepy

Ordinary differential equations, transport theory and Sobolev spaces

R. J. DiPerna, P.-L. Lions
Invent. Math., • 1989

Similar Papers

Loading similar papers…