Abstract
A general approach to the determination of the equations governing linearized hydrodynamics in systems with broken continuous symmetries is introduced and applied in detail to nematic liquid crystals. The hydrodynamical mode structure of nematics is obtained from these equations. Application of the above techniques to the determination of the hydrodynamical equations for cholesterics and smectic liquid crystals is briefly discussed. The complete mode structure for these systems is then reviewed. [Supported in part by grants from the National Science Foundation and the U. S. Office of Naval Research.]
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