On problems in the weakly nonlinear theory of hydrodynamic stability and its improvement

On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow

J. T. Stuart · Journal of Fluid Mechanics · 1960 · 752 citations

Natural Sciences, Mathematics, Physics +15

On perturbation methods in nonlinear stability theory

Thorwald Herbert · Journal of Fluid Mechanics · 1983 · 103 citations

Natural Sciences, Mathematics, Physics +15

The equivalence between two perturbation methods in weakly nonlinear stability theory for parallel shear flows

Kaoru Fujimura · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1989 · 33 citations

Natural Sciences, Mechanical Engineering, Computational Fluid Dynamics +14

Methods of centre manifold and multiple scales in the theory of weakly nonlinear stability for fluid motions

Kaoru Fujimura · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1991 · 30 citations

Natural Sciences, Mathematics, Mechanical Engineering +17

On the nonlinear theory of stability of plane Poiseuille flow in the subcritical range

Hongping Zhou · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1982 · 25 citations

Natural Sciences, Physics, Computational Fluid Dynamics +11