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Cooperative Effects in Fluid Problems

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Synergetics

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 2))

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Abstract

When a layer of fluid is heated from below convection sets in when the temperature drop across the layer exceeds a certain critical value. Then, under certain circumstances, the convective motions which take place are organized in cellular patterns - rolls or hexagonal solutions being the most common. [1], [3], [6]

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References

  1. Busse, F, “The Stability of finite amplitude cellular convection and its relation to an extremum principle”, Jour. Fluid Mech. 30 (1967), 625–650.

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  2. Haken, H. “Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems”, Reviews of Modern Physics, 47 (1975), 67–121.

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  3. Joseph, D. Stability of Fluid Motions I, II, Springer-Verlag, Berlin, 1976.

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  4. Raveché, H.J. and Stuart, C.A. “Towards a molecular theory of freezing”, Jour. Chem. Phys. 63 (1975).

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  5. Sattinger, D.H. “Group representation theory, bifurcation theory, and pattern formation”, Jour. Funct. Anal.

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  6. Sattinger, D.H. “Selection rules for pattern formation”, Arch. Rat. Mech. Anal.

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  7. Sattinger, D.H. “Group representation theory and branch points of nonlinear functional equations”, SIAM Jour. Math. Anal.

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© 1977 Springer-Verlag Berlin Heidelberg

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Sattinger, D.H. (1977). Cooperative Effects in Fluid Problems. In: Haken, H. (eds) Synergetics. Springer Series in Synergetics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66784-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-66784-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-66786-2

  • Online ISBN: 978-3-642-66784-8

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