Abstract
Publisher Summary This chapter presents a brief account of the theoretical work done by L. Landau and by the authors on the hydrodynamics of the superfluid helium. The exact system of hydrodynamical equations of the superfluid liquid can be obtained quite unambiguously starting from the conditions imposed by the conservation laws, by the Galilean relativity principle, and also from certain properties of the motion, which are the consequence of the microscopic theory of superfluidity. One more equation is to be added that determines the acceleration of the superfluid motion. It is to be stressed that the unambiguous derivation of the approximate hydrodynamical equations is possible only by means of performing appropriate neglections in the exact equations. If one performs these neglections from the very beginning, then one loses the possibility of an unambiguous derivation on the basis of the conservation laws and of the relativity principle.
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