Absolute and potential vorticity are conserved under specific atmospheric conditions
the verdict
SUPPORTED
the evidence backs this
confidence 65/100
Absolute and potential vorticity are well-established conservation principles in fluid dynamics and atmospheric science, holding true under specific idealized or constrained conditions such as adiabatic, frictionless, or quasigeostrophic flows.
Evidence for · 8
Precipitating Quasigeostrophic Equations and Potential Vorticity Inversion with Phase Changes
2017 · cited by 30
Paper 0 details how potential vorticity (PV) conservation and inversion form the basis of precipitating quasigeostrophic equations under specific moist conditions.
Evidence against · 1
The effect of curvature induced broken potential vorticity conservation on drift wave turbulences
2021 · cited by 4
Paper 8 notes that finite magnetic curvature breaks strict potential vorticity conservation, though the effect is small under standard tokamak parameters.
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More for · 7
On resonant Rossby—Haurwitz triads
2009 · cited by 21
Paper 1 discusses the dynamics of non-divergent flow on a rotating sphere governed by the conservation of absolute vorticity.
Role of Surface-Layer Coherent Eddies in Potential Vorticity Transport in Quasigeostrophic Turbulence Driven by Eastward Shear
2019 · cited by 14
Paper 2 explores potential vorticity transport using quasigeostrophic turbulence models that rely on foundational PV conservation frameworks.
Point vortices dynamics on a rotating sphere and modeling of global atmospheric vortices interaction
2020 · cited by 12
Paper 3 utilizes the conservation of absolute vorticity equation to model global atmospheric point vortex interactions.
Two-layer quasigeostrophic potential vorticity model
2007 · cited by 12
Paper 4 uses Hamiltonian systems and Noether's theorem to derive conservation laws, including potential vorticity, in two-layer quasigeostrophic models.
Potential vorticity conservation for plasma turbulence in an inhomogeneous magnetic field: Theory and implications
2024 · cited by 7
Paper 6 extends potential vorticity conservation theory to drift wave turbulence in an inhomogeneous magnetic field under specific theoretical conditions.
Hamilton's principle with phase changes and conservation principles for moist potential vorticity
2022 · cited by 5
Paper 7 derives a moist potential vorticity conservation law applying to parcel-integrated volumes under specific phase-change conditions using Noether's theorem.
Investigating the dynamics of point helical vortices on a rotating sphere to model tropical cyclones
2023 · cited by 2
Paper 10 employs the non-linear equation of absolute vorticity conservation in a thin layer on a rotating sphere to model tropical cyclones.