hide
Free keywords:
-
Abstract:
Motivated by recent experiments on convective instabilities in nematic liquid crystals we examine near threshold the existence and stability of roll-type solutions in anisotropic pattern forming systems with boundaries perpendicular to the roll axis which reduce the amplitude. For half-infinite systems the wavenumber bands for existence and stability of solutions are unchanged, but the modulation wavenumber of the fastest-growing mode in the unstable region is increased. For finite width small deviations from the �universal Eckhaus ratio� View the MathML source are found, which vanish in the one-dimensional limit. Some parameters for quantitative comparison with experiments on the electrohydrodynamic instability are given for the standard nematic material MBBA.
