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Skew-symmetric operators and nonlinear stabilization: The hydromagnetic bénard problem

Part One: Weighted Energy Method In Fluid Dynamics

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1134)

Keywords

  • Rayleigh Number
  • Nonlinear Stability
  • Critical Rayleigh Number
  • Null Solution
  • Solenoidal Vector

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References to Chapter VI

  1. G.P. Galdi, Energy Methods and Symmetry in Stability of Viscous Flows, General Lecture at A.I.M.E.T.A. Meeting, Genoa, Italy (1982).

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  2. G.P. Galdi, Nonlinear Stability of the Magnetic Benard Problem via a Generalized Energy Method, Arch. Ratt Mech. Anal., in the Press

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  3. G.P. Galdi, Contributions to Nonlinear Stability of Hydromagnetic Couette Flow Between Rotating Cylinders, Proc. Symp. "Waves and Stability in Continua", Rende (Italy) (1983), to be published.

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  4. S. Rionero, Ref. [8] to Chapter V.

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  8. N. Rudraiah, Publ. Astron. Soc. Japan, 33 (1981) 721.

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  9. G. Iooss, Ref. [8] to Chapter II.

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  10. R. Adams, Ref. [9] to Chapter II.

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  11. M. Padula, Nonlinear Stability of Compressible Benard Problem, Proc. Symp. "Waves and Stability in Continua", Rende (Italy) (1983), to be published.

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  12. W. Unno, S. Kato, & M. Makita, Publ. Astr. Soc. Japan, 12 (1960) 193.

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© 1985 Springer-Verlag

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Galdi, G.P., Rionero, S. (1985). Skew-symmetric operators and nonlinear stabilization: The hydromagnetic bénard problem. In: Weighted Energy Methods in Fluid Dynamics and Elasticity. Lecture Notes in Mathematics, vol 1134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075386

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  • DOI: https://doi.org/10.1007/BFb0075386

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15645-1

  • Online ISBN: 978-3-540-39523-2

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