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Applications

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Part of the Lecture Notes in Mathematics book series (LNM,volume 762)

Keywords

  • Invariant Subspace
  • Hexagonal Lattice
  • Unstable Mode
  • Boussinesq Equation
  • Rigid Motion

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References

  1. F. Busse, "The stability of finite amplitude cellular convection and its relationship to an extremum principle," J. Fluid Mech. 30 (1967), 625–650.

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  2. F. Busse, "Patterns of convection in spherical shells," J. Fluid Mech. 72 (1975), 67–85.

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  3. P. Fife, "The Bénard problem for general fluid dynamical equations and remarks on the Boussinesq approximations," Indiana Univ. Math. Jour. 20 (1973).

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  4. Kozak, Rice, and Weeks, "Analytic approach to the theory of phase transitions," J. Chem. Phys. 52 (1970), p. 2416.

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  5. Raveché, H. J. and Stuart, C. A., "Towards a molecular theory of freezing," J. Chem. Phys. 63 (1975), 136–152.

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  6. Sattinger, D. H., "Group representation theory, bifurcation theory and pattern formation," Jour. Functional. Anal. 28 (1978), 58–101.

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  7. Sattinger, D. H., "Selection mechanisms for pattern formation," Arch. Rat. Mech. Anal. 66 (1977), 31–42.

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  8. Sattinger, D. H., "Bifurcation from rotationally invariant states," Jour. Math. Phys. 19 (1978), 1720–1732.

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© 1979 Springer-Verlag

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Sattinger, D.H. (1979). Applications. In: Group Theoretic Methods in Bifurcation Theory. Lecture Notes in Mathematics, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087462

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  • DOI: https://doi.org/10.1007/BFb0087462

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09715-0

  • Online ISBN: 978-3-540-38487-8

  • eBook Packages: Springer Book Archive