David J. Benney: Nonlinear Wave and Instability Processes in Fluid Flows

被引：4

作者：

Akylas, T. R. ^{[1
]}

机构：

[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

ANNUAL REVIEW OF FLUID MECHANICS, VOL 52 | 2020年 / 52卷

关键词：

resonant nonlinear wave interactions; nonlinear evolution equations; solitary waves; modulational instability; long waves; shear flow instability; nonlinear critical layer; SOLITARY WAVES; CRITICAL LAYERS; SHEAR FLOWS; EVOLUTION; TURBULENCE; TRAINS; WATER; DISTURBANCES; TRANSITION; GENERATION;

D O I：

10.1146/annurev-fluid-010518-040240

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

David J. Benney (1930-2015) was an applied mathematician and fluid dynamicist whose highly original work has shaped our understanding of nonlinear wave and instability processes in fluid flows. This article discusses the new paradigm he pioneered in the study of nonlinear phenomena, which transcends fluid mechanics, and it highlights the common threads of his research contributions, namely, resonant nonlinear wave interactions; the derivation of nonlinear evolution equations, including the celebrated nonlinear Schrodinger equation for modulated wave trains; and the significance of three-dimensional disturbances in shear flow instability and transition.

引用

页码：21 / 36

页数：16

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