Singular Eigenfunctions and an Integral Transform for Shear Flow

  • Philip J. Morrison
Part of the Lecture Notes in Physics book series (LNP, volume 586)


Euler’s equation linearized about a shear flow equilibrium is solved by means of a novel invertible integral transform that is a generalization of the Hilbert transform. The integral transform provides a means for describing the dynamics of the continuous spectrum that is well-known to occur in this and other systems. The results are interpreted briefly in the context of infinite dimensional Hamiltonian systems theory, which serves as a unifying principle.


Shear Flow Continuous Spectrum Integral Transform Linear Dynamic Hamiltonian Structure 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Philip J. Morrison
    • 1
  1. 1.Department of Physics and Institute for Fusion StudiesThe University of TexasAustinUSA

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