Mathematical analysis of sideband instabilities with application to rayleigh-bénard convection

This publication has 23 references indexed in Scilit:

• The Stability of Roll Solutions of the Two-Dimensional Swift–Hohenberg Equation and the Phase-Diffusion Equation
  SIAM Journal on Mathematical Analysis, 1996
• Instability of Spatially — Periodic States for a Family of Semilinear PDE's on an Infinite Strip
  Mathematische Nachrichten, 1996
• Finite amplitude convection between stress-free boundaries; Ginzburg–Landau equations and modulation theory
  European Journal of Applied Mathematics, 1994
• Order Parameter Equations for Patterns
  Annual Review of Fluid Mechanics, 1993
• Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the boussinesq-equations
  Published by Springer Nature ,1992
• A Sufficient Condition for the Validity of the Principle of Reduced Stability
  Mathematische Nachrichten, 1991
• On Linear Stability of Bifurcating Equilibria
  Mathematische Nachrichten, 1989
• Instabilities of convection rolls with stress-free boundaries near threshold
  Journal of Fluid Mechanics, 1984
• Stability of bifurcating equilibria and the principle of reduced stability
  Lecture Notes in Mathematics, 1984
• The Eckhaus and Benjamin-Feir resonance mechanisms
  Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978