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Exchange of stabilities, symmetry and the connection between linear and nonlinear stability

  • Part One: Weighted Energy Method In Fluid Dynamics
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Weighted Energy Methods in Fluid Dynamics and Elasticity

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

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References to Chapter V

  1. D.C. Joseph, Ref. [1] to Chapter I.

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  2. G.P. Galdi & B. Straughan, An Immediate Connection Between Linear and Nonlinear Stability via an Appropriate Choice of Measure: Application to Convection Problems, Proc. Sump. "Waves and Stability in Continua", Publ. of GNFM of Italian C.N.R., Catania (1982) 65.

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  3. G.P. Galdi & B. Straughan, Exchange of Stabilities, Symmetry and the Connection Between Linear and Nonlinear Stability, Arch. Rational Mech. Anal., to be published.

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  4. T. Kato, Ref. [12] to Chapter IV.

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  5. D.D. Joseph, Arch. Rational Mech. Anal., 20 (1965) 59.

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  7. S. Chandrasekhar, Ref. [10] to Chapter I.

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  8. S. Rionero, Ricerche Mat., 17 (1968) 64.

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  11. D. Coles, J. Fluid Mech., 20 (1965) 385.

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  12. D.D. Joseph & W. Hung, Arch. Rational Mech. Anal., 44 (1971) 1.

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  15. G.P. Galdi & I.H. Herron, Nonlinear Stability of a Diffusion Equation, Quart. Appl. Math., to be published.

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  16. I.H. Herron, Studies in Appl. Math., 67 (1982) 231.

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Authors
  1. Giovanni P. Galdi
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  2. Salvatore Rionero
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© 1985 Springer-Verlag

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Galdi, G.P., Rionero, S. (1985). Exchange of stabilities, symmetry and the connection between linear and nonlinear stability. In: Weighted Energy Methods in Fluid Dynamics and Elasticity. Lecture Notes in Mathematics, vol 1134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075385

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  • DOI: https://doi.org/10.1007/BFb0075385

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15645-1

  • Online ISBN: 978-3-540-39523-2

  • eBook Packages: Springer Book Archive

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