Abstract
For the quantum kinetic system modeling the Bose–Einstein Condensate that accounts for interactions between condensate and excited atoms, we use the Chapman–Enskog expansion to derive its hydrodynamic approximations, include both Euler and Navier–Stokes approximations. The hydrodynamic approximations describe not only the macroscopic behavior of the BEC but also its coupling with the non-condensates, which agrees with the Landau two-fluid theory.
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