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A New Mechanism For Linear and Nonlinear Hydrodynamic Instability
Author(s) -
Benney D. J.,
Gustavsson L. Håkan
Publication year - 1981
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1981643185
Subject(s) - instability , nonlinear system , mechanism (biology) , variety (cybernetics) , classical mechanics , physics , amplitude , class (philosophy) , multiple scale analysis , mathematics , statistical physics , mechanics , mathematical analysis , computer science , quantum mechanics , artificial intelligence , statistics
A certain class of three dimensional disturbances is studied which exhibit a strong resonance and consequently lead to the rapid development of relatively large amplitudes. For parallel flows a nonlinear theory is developed and results in evolution equations quite different from those usually found. It is believed that the selection mechanism explored here is relevant to a variety of nonlinear wave and instability problems.