Pattern Selection for Faraday Waves in an Incompressible Viscous Fluid

摘要: When a layer of fluid is oscillated up and down with sufficiently large amplitude, patterns form on the surface, phenomenon first observed by Faraday. A wide variety such have been from regular squares hexagons to superlattice quasipatterns more exotic as oscillons. Previous work has investigated mechanisms pattern selection using tools symmetry bifurcation theory. The hypotheses produced these generic arguments tested against an equation derived Zhang Vinals in weakly viscous depth limit. However, contrast, many experiments use shallow layers counteract presence high frequency damped modes that can make hard observe. Here we develop nonlinear analysis full Navier–Stokes equations for two‐frequency excitation Faraday experiment. problem formulated general depth, although results are presented only infinite dept...