Perturbative Monge
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Related Articles from SNS
The Semigeostrophic--Euler Limit via Perturbative Monge--Amp\`ere Estimates
arXiv:2601.04797v3 Announce Type: replace-cross Abstract: We study the two-dimensional semigeostrophic system on the flat torus in the small-amplitude regime. We formulate the rescaled dynamics as the Lie--Poisson flow of a renormalized optimal-transport energy and expand this Hamiltonian in \(C^1\). The leading term is the Euler Hamiltonian, while the first correction is an explicit cubic Monge--Amp\`ere functional.