Thomas-Fermi approximation Contact interaction 6 Vortex flow 6 Approximation theory 4 Bose-Einstein condensates 4 Bose-Einstein condensation 4 Electron gas 4 Equations of motion 4 Fermions 4 Inhomogeneous system 4 Local density approximation 4 Mean field approximation 4 Particle currents 4 Particle densities 4 Scattering length 4 Trapped fermi gas 4 Atomic physics 2 Atoms 2 Condensation 2 Cr atoms 2 Density (specific gravity) 2 Energy barriers 2 Functions 2 Gross-Pitaevskii equation 2 Mathematical models 2 Molecular dynamics 2 Nucleation 2 Numerical analysis 2 Numerical calculation 2 Numerical methods 2