Bose-Einstein condensation 4 Contact interaction 4 Gross-Pitaevskii equation 4 Rotating frame Rotation 4 Rotation axis 4 Shear waves 4 Vortex displacements 4 Vortex flow 4 Vortex state 4 Angular velocity 2 Axially symmetric 2 Bose-Einstein condensates 2 Cr atoms 2 Dipolar interaction 2 Dipole-dipole 2 Electromagnetic wave scattering 2 Energy barriers 2 Exact solution 2 Harmonic trap 2 Mathematical models 2 Nucleation 2 Numerical calculation 2 Quantum optics 2 Rotating trap 2 S-wave scattering lengths 2 Single vortices 2 Steam condensers 2 Thomas-Fermi approximation 2 Three-dimensional numerical calculations 2