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math-ph2026
A new formulation of metriplectic dynamics with an application to quasigeostrophic ocean modeling with advected quantities
Francisco J. Beron-Vera, Erwin Luesink
A general formulation of metriplectic dynamics is presented, where the metriplectic four-bracket is constructed by multiplying two skew-symmetric brackets. The new formulation is t…
math-ph2025
Irreversible dynamics on Poisson manifolds
Erwin Luesink
We present a geometric construction of irreversible dynamics on Poisson manifolds that satisfies the axioms of metriplectic mechanics and the GENERIC framework. Our approach relies…
math-ph2024
Symmetry groups of geodesic equations with applications in water waves
Bo Gervang, Erwin Luesink
In this work we derive several important equations in water waves and liquid crystals by deriving them as geodesic equations of right-invariant metrics on two infinite-dimensional…