Bose-Einstein condensation and superfluid turbulence

Abstract

We consider superfluid motion that arises from Bose condensation and restricted by quantum conditions. Superfluids have been studied experimentally for many years and have by now become a major focus of cryogenic physics. Applications of the subject are wide-ranging, from engineering to astrophysics. Superfluid turbulence provides insights into classical fluid turbulence, especially at high Reynolds numbers, where the vorticity has an intermittent, fractal character. In this Chapter we consider different modifications of the nonlinear Schrödinger equation to elucidate various aspects of superfluid behaviour: motion of vortices, travelling waves, interactions with normal fluid and superfluid turbulence.