… inversion operator for Ertel's potential vorticity renders quantitative piecewise inversion (inversion
of individual portions of the potential … the inversion operator for Ertel's potential vorticity …

… In the rest of this paper we directly attack the problem of constructing potentialvorticity
inversion schemes for both rapidly rotating and stratified flow-the two conditions which more …

… This paper presents the earliest results from a program begun in 1985 to investigate the
concepts of balance, slow manifold, and potential vorticity (PV) inversion and to probe their …

… The conservation of potential vorticity and the boundary … channel, to illustrate the potential
vorticity inversion method to infer … The fourth section compares the results of the inversion to ‘…

… The first key idea is the invertibility principle for potential vorticity (PV). Without it, one can
hardly give a coherent account of even so important and elementary a process as Rossby-…

… The two-dimensional inverse Laplacian in [14] is replaced by an inverse elliptic operator
that qualitatively resembles a three-dimensional inverse Laplacian when a stretched vertical …

… Here we consider the dynamical reasons for such a linkage using so-called potential
vorticity (PV) attribution concepts. In particular PV inversion is used to find the wind shear …

… The dynamics of a polar low are examined using a piecewise potential vorticity (PV)
inversion method. In previous studies of this and other polar lows, structural evolution has been …

In this study, a methodology is proposed to improve the model initial conditions, based on
available surface temperature observations from ships, buoys, and drifters. It is tested with the …

… using piecewise inversion (see also Hakim et al. 1996). They stated that “… potential vorticity
inversion is perhaps the most useful diagnostic application of potential vorticity inversion.” A …