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Some observations regarding brackets and dissipation

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arxiv 2403.14698 v1 pith:QWY226EY submitted 2024-03-15 math-ph math.MPphysics.flu-dynphysics.plasm-ph

classification math-phmath.MPphysics.flu-dynphysics.plasm-ph
keywords bracketformulationsomeanalogousbracketscomponentconsidereddissipation
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Some ideas relating to a bracket formulation for dissipative systems are considered. The formulation involves a bracket that is analogous to a generalized Poisson bracket, but possesses a symmetric component. Such a bracket is presented for the Navier-Stokes equations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Metriplectic dynamical systems on contact manifolds

    math.SG 2026-05 unverdicted novelty 5.0 of 10

    A metriplectic flow on J¹N = T*N × ℝ enforces Ḣ = 0 and Ṡ ≥ 0, extending contact Hamiltonian dynamics to thermodynamically consistent systems, as shown for the Duffing equation.

  2. Metriplectic relaxation to equilibria

    math-ph 2025-06 unverdicted novelty 5.0 of 10

    Metriplectic systems converge to entropy extrema at fixed Hamiltonian under stated conditions; a Landau-inspired class reduces the check to two simpler conditions for use in equilibrium relaxation schemes.

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