DOI: 10.17077/etd.30i9m4qn
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Pick interpolation, displacement equations, and W*-correspondences

Abstract: There are many people, including officemates, classmates and their spouses, roommates, neighbors, and the mathletes, who have made Iowa City feel like home for the past six years. In particular, I would like to thank Christine, Julia, Catie, Mario, Nathaniel, Colin, Kevin, and Ze for their friendship. I feel lucky to have been surrounded by such wonderful people. Finally, I am grateful to my mom, Nancy, my dad, Mike, my sister, Emily, and my partner, Nate, for their unwavering support and an earnest interest i… Show more

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Cited by 7 publications
(9 citation statements)
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“…Unlike in the moist season over the central Pacific, where vertical velocity is dominated by isentropic upgliding, the dry air phase experiences strong diabatic heating over the maritime continent (see e.g. Norton (2001)) which contributes significantly to the vertical velocity.…”
Section: Discussion Of the 'Dry' Phasementioning
confidence: 99%
“…Unlike in the moist season over the central Pacific, where vertical velocity is dominated by isentropic upgliding, the dry air phase experiences strong diabatic heating over the maritime continent (see e.g. Norton (2001)) which contributes significantly to the vertical velocity.…”
Section: Discussion Of the 'Dry' Phasementioning
confidence: 99%
“…Fig. 3; see also Norton andCarver 1994 andNash et al 1996), it is difficult to say anything conclusive about the variation of vortex area with height from these plots or the elliptical diagnostics. Figure 12 shows the temporal variation of qc, A,, 6, and 6 on each isentropic surface during the above period.…”
Section: Vertical Structurementioning
confidence: 95%
“…These 'elliptical' diagnostics define the area, centre, aspect ratio and orientation of the polar vortex, and hence enable the movement and elongation of the vortex to be quantified. Although the area diagnostic is sensitive to the contour used to define the vortex (see also Norton andCarver 1994 andNash et al 1996), the other diagnostics are not for contours within the vortex-edge region. By examining the variations of these elliptical diagnostics with time and altitude, the temporal evolution and vertical structure of the polar vortices can be quantified.…”
Section: Concluding Remarks and Future Workmentioning
confidence: 99%
“…This has limited application for forecasting, where the transient response of the troposphere to an imposed stratospheric change is required. Arguably, the experiments of Polvani and Kushner (2002) and Norton (2003) are more suited to studies of the response of the troposphere to changes to the stratosphere under climate change, such as the experiments of Shindell et al (1999) and Gillett et al (2002), who investigated the tropospheric response to increase in greenhouse gas concentrations and ozone depletion.…”
Section: Introductionmentioning
confidence: 99%