paper

Non-linear Instabilities

arXiv:1104.1207

Abstract

Wave resonance is the fundamental mechanism of non-linear instabilities of fluid flows, and affects the long-time evolution of fluid motions and other physical problems described by non-linear differential equations. Some significant consequences, not well known and completely different from linear instabilities, are summarized in this paper from the studies of past two decades.

10 pages, 2 tables, 5 figures

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