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Cellular Structures in Instabilities
Wavenumber Selection in Buckling
Cell Number Selection in TaylorCouette Flow
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amplitude equation aspect ratio axis Benard bifurcation boundary conditions boundary layer buckling cell cellular structures coefficients continuity equation convective instability convective structures corresponding critical wavelength Croquette cylinder defects defined deformation dependence diffusion dimensional disk dislocation dynamics Eckhaus Edited effects elliptical shear expansion experimental experiments Figure finite amplitude flame flow Fluid Mech free surface function GIF-SUR-YVETTE Gortler gradient hexagonal horizontal hydrodynamic increase Laboratoire large aspect ratio Lett linear Manneville marginal stability modes motion nematic nonlinear Nusselt observed obtained onset oscillations PARIS CEDEX 05 pattern periodic perturbation phase Phys Physique plates Pomeau porous Prandtl number premixed flames problem Rayleigh number Rayleigh-Benard convection regime region rotating sample sidewall smectic spatial stability curve stationary steady symmetry Taylor-Couette Taylor-Couette flow temperature theoretical theory thermal thermal convection thickness threshold tion transition turbulence Type-I solutions velocity wavelength selection wavenumber selection wavevector Wesfreid zig-zag