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Hydrodynamics of a dense adsorbate.

Basic hydrodynamic equations describing the adsorbate dynamics in the presence of adsorbate-hostsolid dynamical interactions are derived with use of a combined density-functional and canonical formulation of fluid mechanics. A new dissipative term in the hydrodynamic equations resulting from these interactions is derived. The main emphasis is put on the relation between this term and diffusion in the adsorbate