the Euler Hamiltonian
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The Semigeostrophic--Euler Limit via Perturbative Monge--Amp\`ere Estimates
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arXiv:2606.08659v1 Announce Type: new Abstract: Since its classical origin, Hamilton's principle has been formulated under an exact closure condition: admissible variations vanish at the boundaries of the variational domain. This condition removes the boundary term in the first variation of the action and yields the Euler--Lagrange equation. Although natural for isolated deterministic systems, fixed boundary admissibility is usually treated as a technical condition rather than as a physical...