A New Mechanism For Linear and Nonlinear Hydrodynamic Instability | Zendy

Benney D. J. | Zendy; Gustavsson L. Håkan | Zendy

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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.

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