A pr 2 00 5 A fully non-linear version of the incompressible Euler equations : the semi-geostrophic system

Abstract

This work gathers new results concerning the semi-geostrophic equations: existence and stability of measure valued solutions, existence and uniqueness of solutions under certain continuity conditions for the density, convergence to the incompressible Euler equations. Meanwhile, a general technique to prove uniqueness of sufficiently smooth solutions to non… (More)

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