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1

Egger, Joseph. "Mountain torques in quasigeostrophic theory." Meteorologische Zeitschrift 12, no. 6 (December 1, 2003): 301–4. http://dx.doi.org/10.1127/0941-2948/2003/0012-0301.

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2

Miyazaki, Takeshi, Koki Ueno, and Tomoyuki Shimonishi. "Quasigeostrophic, Tilted Spheroidal Vortices." Journal of the Physical Society of Japan 68, no. 8 (August 15, 1999): 2592–601. http://dx.doi.org/10.1143/jpsj.68.2592.

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3

Miyazaki, Takeshi, Masahiro Shimada, and Naoya Takahashi. "Quasigeostrophic Wire-Vortex Model." Journal of the Physical Society of Japan 69, no. 10 (October 15, 2000): 3233–43. http://dx.doi.org/10.1143/jpsj.69.3233.

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4

Miyazaki, Takeshi, Takahiro Fujiwara, and Masahiro Yamamoto. "Quasigeostrophic Confocal Spheroidal Vortices." Journal of the Physical Society of Japan 72, no. 11 (November 15, 2003): 2786–803. http://dx.doi.org/10.1143/jpsj.72.2786.

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5

Miyazaki, Takeshi, Yu Furuichi, and Naoya Takahashi. "Quasigeostrophic Ellipsoidal Vortex Model." Journal of the Physical Society of Japan 70, no. 7 (July 15, 2001): 1942–53. http://dx.doi.org/10.1143/jpsj.70.1942.

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6

Duan, Jinqiao, and Beniamin Goldys. "Ergodicity of stochastically forced large scale geophysical flows." International Journal of Mathematics and Mathematical Sciences 28, no. 6 (2001): 313–20. http://dx.doi.org/10.1155/s0161171201012443.

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We investigate the ergodicity of 2D large scale quasigeostrophic flows under random wind forcing. We show that the quasigeostrophic flows are ergodic under suitable conditions on the random forcing and on the fluid domain, and under no restrictions on viscosity, Ekman constant or Coriolis parameter. When these conditions are satisfied, then for any observable of the quasigeostrophic flows, its time average approximates the statistical ensemble average, as long as the time interval is sufficiently long.
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7

Delsole, Timothy. "Stochastic Models of Quasigeostrophic Turbulence." Surveys in Geophysics 25, no. 2 (March 2004): 107–49. http://dx.doi.org/10.1023/b:geop.0000028164.58516.b2.

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8

Juckes, Martin. "Quasigeostrophic Dynamics of the Tropopause." Journal of the Atmospheric Sciences 51, no. 19 (October 1994): 2756–68. http://dx.doi.org/10.1175/1520-0469(1994)051<2756:qdott>2.0.co;2.

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9

Carton, Xavier. "Instability of Surface Quasigeostrophic Vortices." Journal of the Atmospheric Sciences 66, no. 4 (April 1, 2009): 1051–62. http://dx.doi.org/10.1175/2008jas2872.1.

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Abstract The instability of circular vortices is studied numerically in the surface quasigeostrophic (SQG) model, and their evolutions are compared with those of barotropically unstable 2D vortices. The growth rates in the SQG model evidence similarity with their barotropic counterparts for moderate radial gradients of temperature (or of vorticity in the 2D model). For stronger gradients, SQG vortices are more unstable than 2D vortices. The nonlinear, finite-amplitude evolutions of perturbed vortices provide evidence that moderately unstable, elliptically perturbed vortices form tripoles. When
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10

Zhmur, V. V., and K. K. Pankratov. "Dynamics of desingularized quasigeostrophic vortices." Physics of Fluids A: Fluid Dynamics 3, no. 5 (May 1991): 1464. http://dx.doi.org/10.1063/1.857998.

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11

DelSole, Timothy. "Optimal Perturbations in Quasigeostrophic Turbulence." Journal of the Atmospheric Sciences 64, no. 4 (April 1, 2007): 1350–64. http://dx.doi.org/10.1175/jas3875.1.

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Abstract This paper tests the hypothesis that optimal perturbations in quasigeostrophic turbulence are excited sufficiently strongly and frequently to account for the energy-containing eddies. Optimal perturbations are defined here as singular vectors of the propagator, for the energy norm, corresponding to the equations of motion linearized about the time-mean flow. The initial conditions are drawn from a numerical solution of the nonlinear equations associated with the linear propagator. Experiments confirm that energy is concentrated in the leading evolved singular vectors, and that the ave
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12

Holm, Darryl D., and Vladimir Zeitlin. "Hamilton’s principle for quasigeostrophic motion." Physics of Fluids 10, no. 4 (April 1998): 800–806. http://dx.doi.org/10.1063/1.869623.

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13

Grooms, Ian, and Andrew J. Majda. "Stochastic superparameterization in quasigeostrophic turbulence." Journal of Computational Physics 271 (August 2014): 78–98. http://dx.doi.org/10.1016/j.jcp.2013.09.020.

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14

Gavrilov, Milivoj B., and Ivana A. Tošić. "Dispersion Characteristics of Discrete Quasigeostrophic Modes." Monthly Weather Review 127, no. 9 (September 1999): 2197–203. http://dx.doi.org/10.1175/1520-0493(1999)127<2197:dcodqm>2.0.co;2.

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15

Nycander, J. "Drift Velocity of Radiating Quasigeostrophic Vortices." Journal of Physical Oceanography 31, no. 8 (August 2001): 2178–85. http://dx.doi.org/10.1175/1520-0485(2001)031<2178:dvorqv>2.0.co;2.

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16

Jamaloodeen, Mohamed I., and Paul K. Newton. "Two-layer quasigeostrophic potential vorticity model." Journal of Mathematical Physics 48, no. 6 (June 2007): 065601. http://dx.doi.org/10.1063/1.2469221.

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17

Berrisford, P., J. C. Marshall, and A. A. White. "Quasigeostrophic Potential Vorticity in Isentropic Coordinates." Journal of the Atmospheric Sciences 50, no. 5 (March 1993): 778–82. http://dx.doi.org/10.1175/1520-0469(1993)050<0778:qpviic>2.0.co;2.

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18

DelSole, Timothy. "Can Quasigeostrophic Turbulence Be Modeled Stochastically?" Journal of the Atmospheric Sciences 53, no. 11 (June 1996): 1617–33. http://dx.doi.org/10.1175/1520-0469(1996)053<1617:cqtbms>2.0.co;2.

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19

Rotunno, Richard, David J. Muraki, and Chris Snyder. "Unstable Baroclinic Waves beyond Quasigeostrophic Theory." Journal of the Atmospheric Sciences 57, no. 19 (October 2000): 3285–95. http://dx.doi.org/10.1175/1520-0469(2000)057<3285:ubwbqt>2.0.co;2.

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20

Asselin, Olivier, Peter Bartello, and David N. Straub. "On quasigeostrophic dynamics near the tropopause." Physics of Fluids 28, no. 2 (February 2016): 026601. http://dx.doi.org/10.1063/1.4941761.

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21

Hendershott, Myrl C. "The ventilated thermocline in quasigeostrophic approximation." Journal of Marine Research 47, no. 1 (February 1, 1989): 33–53. http://dx.doi.org/10.1357/002224089785076398.

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22

Álvarez, Alberto, Emilio Hernández-García, and Joaquín Tintoré. "Noise rectification in quasigeostrophic forced turbulence." Physical Review E 58, no. 6 (December 1, 1998): 7279–82. http://dx.doi.org/10.1103/physreve.58.7279.

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23

Muraki, David J., and Chris Snyder. "Vortex Dipoles for Surface Quasigeostrophic Models." Journal of the Atmospheric Sciences 64, no. 8 (August 2007): 2961–67. http://dx.doi.org/10.1175/jas3958.1.

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A new class of exact vortex dipole solutions is derived for surface quasigeostrophic (sQG) models. The solutions extend the two-dimensional barotropic modon to fully three-dimensional, continuously stratified flow and are a simple model of localized jets on the tropopause. In addition to the basic sQG dipole, dipole structures exist for a layer of uniform potential vorticity between two rigid boundaries and for a dipole in the presence of uniform background vertical shear and horizontal potential temperature gradient. In the former case, the solution approaches the barotropic Lamb dipole in th
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24

Miyazaki, Takeshi, Masahiro Yamamoto, and Shinsuke Fujishima. "Counter-Rotating Quasigeostrophic Ellipsoidal Vortex Pair." Journal of the Physical Society of Japan 72, no. 8 (August 15, 2003): 1948–62. http://dx.doi.org/10.1143/jpsj.72.1948.

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25

Duan, Jinqiao, Darryl D. Holm, and Kaitai Li. "Variational methods and nonlinear quasigeostrophic waves." Physics of Fluids 11, no. 4 (April 1999): 875–79. http://dx.doi.org/10.1063/1.869959.

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26

Pinardi, Nadia, and Allan R. Robinson. "Quasigeostrophic energetics of open ocean regions." Dynamics of Atmospheres and Oceans 10, no. 3 (December 1986): 185–219. http://dx.doi.org/10.1016/0377-0265(86)90013-8.

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27

McDonald, N. Robb. "A new translating quasigeostrophic V-state." European Journal of Mechanics - B/Fluids 23, no. 4 (July 2004): 633–44. http://dx.doi.org/10.1016/j.euromechflu.2003.10.004.

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28

Schneider, Tapio. "Zonal Momentum Balance, Potential Vorticity Dynamics, and Mass Fluxes on Near-Surface Isentropes." Journal of the Atmospheric Sciences 62, no. 6 (June 1, 2005): 1884–900. http://dx.doi.org/10.1175/jas3341.1.

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Abstract While it has been recognized for some time that isentropic coordinates provide a convenient framework for theories of the global circulation of the atmosphere, the role of boundary effects in the zonal momentum balance and in potential vorticity dynamics on isentropes that intersect the surface has remained unclear. Here, a balance equation is derived that describes the temporal and zonal mean balance of zonal momentum and of potential vorticity on isentropes, including the near-surface isentropes that sometimes intersect the surface. Integrated vertically, the mean zonal momentum or
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29

Nielsen-Gammon, John W., and David A. Gold. "Dynamical Diagnosis: A Comparison of Quasigeostrophy and Ertel Potential Vorticity." Meteorological Monographs 55 (November 1, 2008): 183–202. http://dx.doi.org/10.1175/0065-9401-33.55.183.

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Abstract Advances in computer power, new forecasting challenges, and new diagnostic techniques have brought about changes in the way atmospheric development and vertical motion are diagnosed in an operational setting. Many of these changes, such as improved model skill, model resolution, and ensemble forecasting, have arguably been detrimental to the ability of forecasters to understand and respond to the evolving atmosphere. The use of nondivergent wind in place of geostrophic wind would be a step in the right direction, but the advantages of potential vorticity suggest that its widespread ad
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30

Brüggemann, Nils, and Carsten Eden. "Routes to Dissipation under Different Dynamical Conditions." Journal of Physical Oceanography 45, no. 8 (August 2015): 2149–68. http://dx.doi.org/10.1175/jpo-d-14-0205.1.

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AbstractIn this study, it is investigated how ageostrophic dynamics generate an energy flux toward smaller scales. Numerical simulations of baroclinic instability are used with varying dynamical conditions ranging from quasigeostrophic balance to ageostrophic flows. It turns out that dissipation at smaller scales by viscous friction is much more efficient if the flow is dominated by ageostrophic dynamics than in quasigeostrophic conditions. In the presence of ageostrophic dynamics, an energy flux toward smaller scales is observed while energy is transferred toward larger scales for quasigeostr
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31

Pratt, Lawrence J., M. Susan Lozier, and Natalia Beliakova. "Parcel Trajectories in Quasigeostrophic Jets: Neutral Modes." Journal of Physical Oceanography 25, no. 6 (June 1995): 1451–66. http://dx.doi.org/10.1175/1520-0485(1995)025<1451:ptiqjn>2.0.co;2.

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32

Müller, Peter. "Coherence Maps for Wind-Forced Quasigeostrophic Flows*." Journal of Physical Oceanography 27, no. 9 (September 1997): 1927–36. http://dx.doi.org/10.1175/1520-0485(1997)027<1927:cmfwfq>2.0.co;2.

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33

Berloff, Pavel S., and James C. McWilliams. "Quasigeostrophic Dynamics of the Western Boundary Current." Journal of Physical Oceanography 29, no. 10 (October 1999): 2607–34. http://dx.doi.org/10.1175/1520-0485(1999)029<2607:qdotwb>2.0.co;2.

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34

da Silveira, Ilson C. A., and Glenn R. Flierl. "Eddy Formation in 2½-Layer, Quasigeostrophic Jets." Journal of Physical Oceanography 32, no. 3 (March 2002): 729–45. http://dx.doi.org/10.1175/1520-0485(2002)032<0729:efilqj>2.0.co;2.

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35

Muraki, David J., Chris Snyder, and Richard Rotunno. "The Next-Order Corrections to Quasigeostrophic Theory." Journal of the Atmospheric Sciences 56, no. 11 (June 1999): 1547–60. http://dx.doi.org/10.1175/1520-0469(1999)056<1547:tnoctq>2.0.co;2.

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36

Vizman, Cornelia. "Cocycles and stream functions in quasigeostrophic motion." Journal of Nonlinear Mathematical Physics 15, no. 2 (January 2008): 140–46. http://dx.doi.org/10.2991/jnmp.2008.15.2.1.

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37

Kalashnik, M. V., M. V. Kurgansky, and S. V. Kostrykin. "Instability of Surface Quasigeostrophic Spatially Periodic Flows." Journal of the Atmospheric Sciences 77, no. 1 (December 16, 2019): 239–55. http://dx.doi.org/10.1175/jas-d-19-0100.1.

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Abstract The surface quasigeostrophic (SQG) model is developed to describe the dynamics of flows with zero potential vorticity in the presence of one or two horizontal boundaries (Earth surface and tropopause). Within the framework of this model, the problems of linear and nonlinear stability of zonal spatially periodic flows are considered. To study the linear stability of flows with one boundary, two approaches are used. In the first approach, the solution is sought by decomposing into a trigonometric series, and the growth rate of the perturbations is found from the characteristic equation
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38

Laîné, Alexandre, Guillaume Lapeyre, and Gwendal Rivière. "A Quasigeostrophic Model for Moist Storm Tracks." Journal of the Atmospheric Sciences 68, no. 6 (June 1, 2011): 1306–22. http://dx.doi.org/10.1175/2011jas3618.1.

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Abstract The effect of moisture and latent heat release is investigated in the context of a three-level quasigeostrophic model on the sphere. The model is based on an existing dry model that was shown to be able to reproduce the midlatitude synoptic and low-frequency variability of the troposphere. In addition to potential vorticity equations, moisture evolution equations are included with a simple precipitation scheme. The model can be forced using reanalysis datasets to represent the observed climatology. After the description of the model, the Northern Hemisphere midlatitude climatic charac
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39

Miyazaki, Takeshi, Akinori Asai, Masahiro Yamamoto, and Shinsuke Fujishima. "Numerical Validation of Quasigeostrophic Ellipsoidal Vortex Model." Journal of the Physical Society of Japan 71, no. 11 (November 15, 2002): 2687–99. http://dx.doi.org/10.1143/jpsj.71.2687.

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40

Mu, Mu. "Nonlinear stability of two-dimensional quasigeostrophic motions." Geophysical & Astrophysical Fluid Dynamics 65, no. 1-4 (July 1992): 57–76. http://dx.doi.org/10.1080/03091929208225239.

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41

Plougonven, R., and J. Vanneste. "Quasigeostrophic Dynamics of a Finite-Thickness Tropopause." Journal of the Atmospheric Sciences 67, no. 10 (October 1, 2010): 3149–63. http://dx.doi.org/10.1175/2010jas3502.1.

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Abstract A model of tropopause dynamics is derived that is of intermediate complexity between the three-dimensional quasigeostrophic model and the surface quasigeostrophic (SQG) model. The model assumes that a sharp transition in stratification occurs over a small but finite tropopause region separating regions of uniform potential vorticity (PV). The model is derived using a matched-asymptotics technique, with the ratio of the thickness of the tropopause region to the typical vertical scale of perturbations outside as a small parameter. It reduces to SQG to leading order in this parameter but
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42

Storer, Benjamin A., Francis J. Poulin, and Claire Ménesguen. "The Dynamics of Quasigeostrophic Lens-Shaped Vortices." Journal of Physical Oceanography 48, no. 4 (April 2018): 937–57. http://dx.doi.org/10.1175/jpo-d-17-0039.1.

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AbstractThe stability of lens-shaped vortices is revisited in the context of an idealized quasigeostrophic model. We compute the stability characteristics with higher accuracy and for a wider range of Burger numbers (Bu) than what was previously done. It is found that there are four distinct Bu regions of linear instability. Over the primary region of interest (0.1 &lt; Bu &lt; 10), we confirm that the first and second azimuthal modes are the only linearly unstable modes, and they are associated with vortex tilting and tearing, respectively. Moreover, the most unstable first azimuthal mode is
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43

Watwood, Matthew, Ian Grooms, Keith A. Julien, and K. Shafer Smith. "Energy-conserving Galerkin approximations for quasigeostrophic dynamics." Journal of Computational Physics 388 (July 2019): 23–40. http://dx.doi.org/10.1016/j.jcp.2019.03.029.

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44

Meacham, S. P. "Quasigeostrophic, ellipsoidal vortices in a stratified fluid." Dynamics of Atmospheres and Oceans 16, no. 3-4 (January 1992): 189–223. http://dx.doi.org/10.1016/0377-0265(92)90007-g.

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45

Walstad, Leonard J., and Allan R. Robinson. "A coupled surface boundary-layer-quasigeostrophic model." Dynamics of Atmospheres and Oceans 18, no. 3-4 (August 1993): 151–207. http://dx.doi.org/10.1016/0377-0265(93)90009-v.

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46

Venaille, Antoine, Geoffrey K. Vallis, and K. Shafer Smith. "Baroclinic Turbulence in the Ocean: Analysis with Primitive Equation and Quasigeostrophic Simulations." Journal of Physical Oceanography 41, no. 9 (September 1, 2011): 1605–23. http://dx.doi.org/10.1175/jpo-d-10-05021.1.

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Abstract This paper examines the factors determining the distribution, length scale, magnitude, and structure of mesoscale oceanic eddies in an eddy-resolving primitive equation simulation of the Southern Ocean [Modeling Eddies in the Southern Ocean (MESO)]. In particular, the authors investigate the hypothesis that the primary source of mesoscale eddies is baroclinic instability acting locally on the mean state. Using local mean vertical profiles of shear and stratification from an eddying primitive equation simulation, the forced–dissipated quasigeostrophic equations are integrated in a doub
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47

Harvey, Benjamin J., Maarten H. P. Ambaum, and Xavier J. Carton. "Instability of Shielded Surface Temperature Vortices." Journal of the Atmospheric Sciences 68, no. 5 (May 1, 2011): 964–71. http://dx.doi.org/10.1175/2010jas3669.1.

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Abstract The stability characteristics of the surface quasigeostrophic shielded Rankine vortex are found using a linearized contour dynamics model. Both the normal modes and nonmodal evolution of the system are analyzed and the results are compared with two previous studies. One is a numerical study of the instability of smooth surface quasigeostrophic vortices with which qualitative similarities are found and the other is a corresponding study for the two-dimensional Euler system with which several notable differences are highlighted.
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48

Egger, Joseph. "A modified quasigeostrophic equation for barotropic mean flow over topography." Meteorologische Zeitschrift 12, no. 1 (March 17, 2003): 43–46. http://dx.doi.org/10.1127/0941-2948/2003/0012-0043.

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49

Zurita-Gotor, Pablo, and Geoffrey K. Vallis. "Equilibration of Baroclinic Turbulence in Primitive Equations and Quasigeostrophic Models." Journal of the Atmospheric Sciences 66, no. 4 (April 1, 2009): 837–63. http://dx.doi.org/10.1175/2008jas2848.1.

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Abstract This paper investigates the equilibration of baroclinic turbulence in an idealized, primitive equation, two-level model, focusing on the relation with the phenomenology of quasigeostrophic turbulence theory. Simulations with a comparable two-layer quasigeostrophic model are presented for comparison, with the deformation radius in the quasigeostrophic model being set using the stratification from the primitive equation model. Over a fairly broad parameter range, the primitive equation and quasigeostrophic results are in qualitative and, to some degree, quantitative agreement and are co
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50

Abadias, Luciano, and Pedro J. Miana. "Quasigeostrophic Equations for Fractional Powers of Infinitesimal Generators." Journal of Function Spaces 2019 (February 7, 2019): 1–7. http://dx.doi.org/10.1155/2019/4763450.

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In this paper we treat the following partial differential equation, the quasigeostrophic equation: ∂/∂t+u·∇f=-σ-Aαf, 0≤α≤1, where (A,D(A)) is the infinitesimal generator of a convolution C0-semigroup of positive kernel on Lp(Rn), with 1≤p&lt;∞. Firstly, we give remarkable pointwise and integral inequalities involving the fractional powers (-A)α for 0≤α≤1. We use these estimates to obtain Lp-decayment of solutions of the above quasigeostrophic equation. These results extend the case of fractional derivatives (taking A=Δ, the Laplacian), which has been studied in the literature.
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