Fully nonlinear three-dimensional convection in a rapidly rotating layer

摘要: Fully nonlinear three-dimensional convection in a rotating layer is studied for large Taylor numbers. In this regime, the leading order nonlinearity arises from distortion of horizontally averaged temperature profile. As result, steady rolls, squares, hexagons, triangles, and pattern called patchwork quilt all have identical Nusselt A similar degeneracy present overstable with six patterns having time-averaged numbers oscillation frequencies. These results are obtained via an asymptotic expansion number that determines, each Rayleigh number, frequency solution eigenvalue problem vertical other determined by weakly analysis cannot be extended into fully regime methods, but these necessarily unstable.