Shock waves in narrow channels filled with superfluid helium

Аннотация

Formation of fourth-sound shock waves in narrow channels filled with superfluid helium is studied. Physical and mathematical conditions at the surface of discontinuity are established. These conditions differ somewhat from those for first- and second-sound waves. The velocity of discontinuity coincides with the speed of fourth sound. The jumps of temperature and the superfluid velocity are shown to be of the first order of the pressure jumps.