The reexamination of the weakly nonlinear theory of hydrodynamic stability
Abstract
Problems in the application of the weakly nonlinear theory of stability to hydrodynamics are briefly examined from a mathematical standpoint. Particular attention is given to the LandauStuart amplitude equation, the concept of resonance in weakly nonlinear theory, and meanflow distortion in evolving free shear flows.
 Publication:

Applied Mathematics Mechanics English Edition
 Pub Date:
 March 1991
 Bibcode:
 1991ApMaM..12..219Z
 Keywords:

 Flow Distortion;
 Flow Stability;
 Hydrodynamic Equations;
 Shear Flow;
 Wave Interaction;
 Equilibrium Methods;
 Flow Equations;
 Mathematical Models;
 Nonlinear Equations;
 Fluid Mechanics and Heat Transfer