A fully non-linear version of the Euler incompressible equations: the semi-geostrophic system
Analysis of PDEs
2007-05-23 v1
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-linearly coupled system is introduced, using optimal transportation.
Keywords
Cite
@article{arxiv.math/0504138,
title = {A fully non-linear version of the Euler incompressible equations: the semi-geostrophic system},
author = {G. Loeper},
journal= {arXiv preprint arXiv:math/0504138},
year = {2007}
}