Solutions for nonlinear convection in the presence of a lateral boundary

DOI10.1016/S0167-2789(02)00789-3zbMath1098.76536MaRDI QIDQ1860886

Yanyan Li

Publication date: 4 March 2003

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

large-scale nonlinear systemsnonlinear periodic-form phase shiftsteady-state patterns

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Convection in hydrodynamic stability (76E06)

Related Items

Boundary effects and the onset of Taylor vortices

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• Effects of boundary conditions on spatially periodic states
• Noise and pattern selection in the one-dimensional Swift-Hohenberg equation
• Mode interactions in Rayleigh-Bénard convection
• The MATLAB ODE Suite
• Phase-winding solutions in a finite container above the convective threshold
• Numerical simulation of Rayleigh–Bénard convection in shallow tanks
• Steady-state mode interactions in the presence of 0(2)-symmetry
• The effect of distant side-walls on the evolution and stability of finite-amplitude Rayleigh-Bénard convection
• The Stability of Roll Solutions of the Two-Dimensional Swift–Hohenberg Equation and the Phase-Diffusion Equation
• Pattern formation outside of equilibrium