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Geophysical Fluid Dynamics Volume 2, 1971 - Issue 1
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Original Articles

On the stability of plane flow with horizontal shear to three-Dimensional nondivergent disturbances

William Blumen Department of Astro-Geophysics, University of Colorado, Boulder, Colorado
Pages 189-200 | Received 29 Sep 1969, Published online: 12 Sep 2006

Citations (17)

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Read on this site (3)

V. Artale, E. Salusti & R. Santoleri. (1986) Lyapunov stability of solitary rotational water waves. Geophysical & Astrophysical Fluid Dynamics 37:3, pages 237-251.
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Albert Barcilon & Philip G. Drazin. (1972) Dust devil formation. Geophysical Fluid Dynamics 4:2, pages 147-158.
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William Blumen. (1971) On the stability of a barotropic shear flow to nongeostrophic disturbances. Tellus 23:4-5, pages 295-301.
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Articles from other publishers (14)

Akiva M. YaglomAkiva M. Yaglom & Uriel Frisch. 2012. Hydrodynamic Instability and Transition to Turbulence. Hydrodynamic Instability and Transition to Turbulence 291 464 .
A. H. Khater, D. K. Callebaut & E. S. Kamel. (2008) Nonlinear periodic solutions for isothermal magnetostatic atmospheres. Physics of Plasmas 15:12.
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A. H. Khater, S. M. Moawad & D. K. Callebaut. (2005) Linear and nonlinear stability analysis for two-dimensional ideal magnetohydrodynamics with incompressible flows. Physics of Plasmas 12:1, pages 012316.
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Theodore G. Shepherd. 1992. Nonlinear Phenomena in Atmospheric and Oceanic Sciences. Nonlinear Phenomena in Atmospheric and Oceanic Sciences 187 206 .
P. Ripa. (2006) General stability conditions for a multi-layer model. Journal of Fluid Mechanics 222:-1, pages 119.
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D D Holm & B Long. (1989) Lyapunov stability of ideal stratified fluid equilibria in hydrostatic balance. Nonlinearity 2:1, pages 23-35.
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Henry D. I. Abarbanel & Darryl D. Holm. (1987) Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids. The Physics of Fluids 30:11, pages 3369-3382.
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David G. Andrews. (2007) On the interpretation of the eliassen‐palm flux divergence. Quarterly Journal of the Royal Meteorological Society 113:475, pages 323-338.
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Darryl D. Holm, Jerrold E. Marsden, Tudor Ratiu & Alan Weinstein. (1985) Nonlinear stability of fluid and plasma equilibria. Physics Reports 123:1-2, pages 1-116.
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E. Knobloch. (1985) The stability of non-separable barotropic and baroclinic shear flows. Astrophysics and Space Science 116:1, pages 149-163.
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V. Artale & E. Salusti. (1984) Erratum: Hydrodynamic stability of rotational gravity waves. Physical Review A 30:6, pages 3322-3323.
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William Blumen. (2006) Stability of non-planar shear flow of a stratified fluid. Journal of Fluid Mechanics 68:01, pages 177.
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William Blumen. (2010) Geostrophic adjustment. Reviews of Geophysics 10:2, pages 485-528.
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WILLIAM BLUMEN. (1971) On the stability of a barotropic shear flow to nongeostrophic disturbances. Tellus 23:4-5, pages 295-301.
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