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Abstraet.The equations for non-linear hydrodynamics of 'He B are derived from the BCS model by an expansion of Gorkov's equations. The calculation is performed at finite temperature and constitutes a generalisation of the results of Combescot and Dombre. The results are shown to be in complete agreement with formal hydrodynamics. provided it has been properly corrected to account for the dependence of the free energy on the gradients of the conserved variables.

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