Generalized solutions and hydrostatic approximation of the Euler equations

@inproceedings{Brenier2008GeneralizedSA,
  title={Generalized solutions and hydrostatic approximation of the Euler equations},
  author={Yann Brenier},
  year={2008}
}
Abstract Solutions to the Euler equations on a 3D domain D 3 (typically the unit cube or the periodic unit cube) can be formally obtained by minimizing the action of an incompressible fluid moving inside D 3 between two given configurations. When these two configurations are very close to each other, classical solutions do exist, as shown by Ebin and Marsden. However, Shnirelman found a class of data (essentially 2D in the sense that they trivially depend on the vertical coordinate) for which… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 14 REFERENCES