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9 - Nonlinear Stability

Published online by Cambridge University Press:  22 November 2018

W. O. Criminale ,
T. L. Jackson  and
R. D. Joslin
W. O. Criminale
Affiliation:
University of Washington
T. L. Jackson
Affiliation:
University of Florida
R. D. Joslin
Affiliation:
National Science Foundation, Alexandria, Virginia
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Summary

Chapter 9 moves beyond linear theory by examining weakly nonlinear theory, secondary instability theory and resonant wave interactions. The chapter concludes with a discussion of the parabolized stability equation theory, which sets linear, secondary and nonlinear instabilities within a single framework.

Keywords

Nonlinear StabilityWeakly Nonlinear TheorySecondary InstabilityPSE Theory
Type
Chapter
Information
Theory and Computation in Hydrodynamic Stability , pp. 259 - 286
Publisher: Cambridge University Press
Print publication year: 2018

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