. Following Kavoulakis, Pethick and Smith, we introduce a spatial cutoff in our linearized equations when the density is so low that the hydrodynamic description breaks down. Explicit expressions are given for

η

and

κ

, which are position-dependent through dependence on the local fugacity when one includes the effect of quantum degeneracy of the trapped gas. We also discuss a trapped Bose-condensed gas, generalizing the work of Zaremba, Griffin and Nikuni to include hydrodynamic damping due to the (non-condensate) normal fluid.

DOI: 10.48550/arxiv.cond-mat/9711036

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δv

which includes the hydrodynamic damping due to the shear viscosity

η

and the thermal conductivity

κ

η

and

κ