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1

Georgescu, Adelina. Hydrodynamic stability theory. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1.

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2

Hydrodynamic stability theory. Dordrecht: M. Nijhoff, 1985.

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3

1957-, Jackson Thomas L., and Joslin R. D. 1963-, eds. Theory and computation in hydrodynamic stability. Cambridge: Cambridge University Press, 2003.

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4

Baggett, Jeffrey S. Non-normal dynamics and hydrodynamic stability. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1996.

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5

Ridha, Abid, Blaisdell Gregory A, and Institute for Computer Applications in Science and Engineering., eds. On the consistency of Reynolds stress turbulence closures with hydrodynamic stability theory. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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6

The linearization method in hydrodynamical stability theory. Providence, R.I: American Mathematical Society, 1989.

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7

Introduction to Hamiltonian fluid dynamics and stability theory. Boca Raton: Chapman & Hall/CRC, 2000.

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8

Lallemand, Pierre. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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9

Georgescu, A. Hydrodynamic Stability Theory. Springer Verlag, 2010.

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10

Georgescu, A. Hydrodynamic stability theory. Springer, 2014.

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11

Georgescu, A. Hydrodynamic Stability Theory. Springer, 2013.

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12

C. C. (Chia-Chʻiao) 1916- Lin. Theory of Hydrodynamic Stability. Creative Media Partners, LLC, 2021.

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13

Criminale, W. O., T. L. Jackson, and R. D. Joslin. Theory and Computation in Hydrodynamic Stability. Cambridge University Press, 2019.

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14

Criminale, W. O., T. L. Jackson, and R. D. Joslin. Theory and Computation of Hydrodynamic Stability. Cambridge University Press, 2011.

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15

Criminale, W. O., T. L. Jackson, and R. D. Joslin. Theory and Computation of Hydrodynamic Stability. Cambridge University Press, 2010.

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16

Criminale, W. O., T. L. Jackson, and R. D. Joslin. Theory and Computation in Hydrodynamic Stability. Cambridge University Press, 2018.

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17

Criminale, W. O., T. L. Jackson, and R. D. Joslin. Theory and Computation in Hydrodynamic Stability. Cambridge University Press, 2018.

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18

Criminale, W. O., T. L. Jackson, and R. D. Joslin. Theory and Computation of Hydrodynamic Stability (Cambridge Monographs on Mechanics). Cambridge University Press, 2003.

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19

A spectral collocation solution to the compressible stability Eigenvalue problem. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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20

Lee, Byung Suk. Hydrostatics and Stability of Marine Vehicles: Theory and Practice. Springer, 2018.

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21

Lee, Byung Suk. Hydrostatics and Stability of Marine Vehicles: Theory and Practice. Springer, 2018.

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22

Zeitlin, Vladimir. Instabilities of Jets and Fronts and their Nonlinear Evolution. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0010.

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Notions of linear and nonlinear hydrodynamic (in)stability are explained and criteria of instability of plane-parallel flows are presented. Instabilities of jets are investigated by direct pseudospectral collocation method in various flow configurations, starting from the classical barotropic and baroclinic instabilities. Characteristic features of instabilities are displayed, as well as typical patterns of their nonlinear saturation. It is shown that in the Phillips model of Chapter 5, new ageostrophic Rossby–Kelvin and shear instabilities appear at finite Rossby numbers. These instabilities are interpreted in terms of resonances among waves counter-propagating in the flow. It is demonstrated that the classical inertial instability is a specific case of ageostrophic baroclinic instability. At the equator it appears also in the barotropic configuration, and is related to resonances of Yanai waves. The nature of the inertial instability in terms of trapped modes is established. A variety of instabilities of density fronts is displayed.
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