A multi-sensor upper tropospheric ozone product (MUTOP) based on TES Ozone and GOES water vapor: derivation by S. R. Felker, J. L. Moody, A. J. Wimmers, G. Osterman, K. Bowman

“…However, it is well understood that UT ozone is correlated with dynamical tracers like low specific humidity and high potential vorticity. Blending the advantages of two remotely sensed quantities (GOES water vapor and TES ozone) is at the core of the Multi-sensor Upper Tropospheric Ozone Product (MUTOP). …”
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On the Crossover of Boundary Currents in an Idealized Model of the Red Sea by Zhai, Ping, Pratt, Larry J., Bower, Amy

“…Various terms in the potential vorticity budget can be estimated using a buoyancy budget, a thermal wind balance, and a parameterization of baroclinic instability.…”
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The role of the complete Coriolis force in cross-equatorial transport of abyssal ocean currents by Stewart, A, Andrew L Stewart

“…Cross-equatorial flow is strongly constrained by potential vorticity conservation, which requires fluid to acquire a large relative vorticity in order to move between hemispheres. …”

Integrable unsteady motion with an application to ocean eddies by A. D. Kirwan, Jr., B. L. Lipphardt, Jr.

“…Particle motion for nonsteady two-dimensional flows with discontinuities in the vorticity or potential vorticity fields (modon solutions) is shown to be integrable. …”
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Baroclinic instability in the two-layer model: interpretations by Joseph Egger

“…The second interpretation is based on potential vorticity (PV) thinking. Instability implies a dominance of the vertical PV coupling coefficient compared to horizontal mean state PV advection generated at the same level. …”
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Understanding the structure of the subtropical thermocline by Polton, J, Marshall, D

“…Closing a gyre with a western boundary current imposes a constraint on its vertical structure that requires there to be no net vertical flux of potential vorticity through any closed pressure contour in steady state. …”

A review of the Match technique as applied to AASE-2/EASOE and SOLVE/THESEO 2000 by G. A. Morris, G. A. Morris, G. A. Morris, B. R. Bojkov, L. R. Lait, M. R. Schoeberl

“…Integrated ozone loss rates estimated by Match in both of those years compare well with those found in numerous other studies and in a potential vorticity/potential temperature approach shown previously and in this paper. …”
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Examining the dynamics of a Borneo vortex using a balance approximation tool by S. Hardy, J. Methven, J. Schwendike, B. Harvey, B. Harvey, M. Cullen, M. Cullen

“…The vertical motion is dominated by coupling with diabatic heating and is shifted relative to the potential vorticity so that the diabatic wave propagates westwards, relative to the flow, at a rate consistent with prediction from moist semi-geostrophic theory. …”
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Wavenumber-frequency analysis of single-layer shallow-water beta-plane quasi-geostrophic turbulence by Morten, A. J., Arbic, B. K., Flierl, Glenn Richard

“…Also at moderately high γβ, a second dispersion relation appears, roughly corresponding to linear waves on a zonal potential vorticity (PV) staircase. At very high γβ, during the slow evolution to a PV staircase, the structure of the linear waves is altered by the small perturbations to a constant potential vorticity gradient. …”
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Numerical study of two-dimensional moist symmetric instability by M. Fantini, P. Malguzzi

“…The unstable basic state was designed by numerical integration of the equation which defines saturated equivalent potential vorticity q<sub>e</sub><sup>*</sup>. …”
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English translations of twenty-one of Ertel's papers on geophysical fluid dynamics by Wayne Schubert, Eberhard Ruprecht, Rolf Hertenstein, Rosana Nieto Ferreira, Richard Taft, Christopher Rozoff, Paul Ciesielski, Hung-Chi Kuo

“…This collection includes the four classic 1942 papers on vorticity and potential vorticity conservation principles and also papers on generalized conservation relations, hydrodynamic commutation formulas, Clebsch and Weber transformations, and isogons and isotachs in two-dimensional flows.…”
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Equivalent latitude computation using regions of interest (ROI). by Juan A Añel, Douglas R Allen, Guadalupe Sáenz, Luis Gimeno, Laura de la Torre

“…The ROI method is compared with the "piecewise-constant" method, the approach commonly used in atmospheric sciences, using global fields of atmospheric potential vorticity. The ROI method is considerably more accurate and computationally faster than the piecewise-constant method, and it also works well with irregular grids. …”
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Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean by T. Soomere

“…These cases correspond to a zero component of the eigenvectors of the potential vorticity equations. The kinetic equation always possesses a fully barotropic solution. …”
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Vertical cloud structure of warm conveyor belts – a comparison and evaluation of ERA5 reanalysis, CloudSat and CALIPSO data by H. Binder, M. Boettcher, H. Joos, M. Sprenger, H. Wernli

“…(vii) In the lower troposphere, high potential vorticity is diabatically produced along the WCB in areas with high reflectivities and hydrometeor contents, and at upper levels, low potential vorticity prevails in the cirrus layer in the WCB outflow. …”
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Spatial regression analysis on 32 years of total column ozone data by J. S. Knibbe, R. J. van der A, A. T. J. de Laat

“…To account for seasonal variation in ozone, explanatory variables describing the polar vortex, geopotential height, potential vorticity and average day length are included. …”
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Eddy-mean flow interactions in western boundary current jets by Waterman, Stephanie N

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Marginal sea overflows and the upper ocean interaction by Kida, Shinichiro, Yang, Jiayan, Price, James F.

“…The difference arises because entrainment occurs at a much shallower location for the Mediterranean case and the background potential vorticity gradient of the upper ocean is much larger.…”
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Evidence for long-lived polar vortex air in the mid-latitude summer stratosphere from in situ laser diode CH₄ and H₂O measurements by G. Durry, G. Durry, A. Hauchecorne

“…To support this interpretation, a high resolution advection model for potential vorticity is used to investigate the evolution of the Arctic vortex after its breakdown phase in spring 2000.…”
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Contraction of westward-travelling nonlocal modons due to the vorticity filament emission by D. Berson, Z. Kizner, Z. Kizner

“…Due to the filamentation, the vortex core contracts, the potential vorticity peaks of the vortex pair get closer, and the modon speeds up. …”
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Recent Studies on Changes in Track and Convection Associated with Tropical Cyclone Landfall by Johnny C.L. Chan

“…As a result, the distribution of potential vorticity tendencies will be modified, which then leads to track deviations. …”
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