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

DOI10.1007/BF02489156zbMath0776.76037MaRDI QIDQ4202988

Heng Zhou, Xue-Yi You

Publication date: 28 November 1993

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

zbMATH Keywords

perturbation parameterradius of convergencemodified Landau equation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30)

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Cites Work

• Unnamed Item
• A necessary modification for the amplitude equation of the weakly nonlinear theory of hydrodynamic stability
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On perturbation methods in nonlinear stability theory
• The equivalence between two perturbation methods in weakly nonlinear stability theory for parallel shear flows
• On the nonlinear theory of stability of plane Poiseuille flow in the subcritical range
• Methods of centre manifold and multiple scales in the theory of weakly nonlinear stability for fluid motions