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==Overview of Dissertation== [https://digitalcommons.lsu.edu/gradschool_disstheses/6940/ Paul Fisher's (1999) doctoral dissertation] (accessible via the LSU Digital Commons) is titled, ''Nonaxisymmetric Equilibrium Models for Gaseous Galaxy Disks.'' Its abstract reads, in part: <table border="0" align="center" width="80%" cellpadding="3"><tr><td align="left"> <font color="darkgreen">Three-dimensional hydrodynamic simulations show that, in the absence of self-gravity, an axisymmetric, gaseous galaxy disk whose angular momentum vector is initially tipped at an angle, <math>~i_0</math>, to the symmetry axis of a fixed spheroidal dark matter halo potential does not settle to the equatorial plane of the halo. Instead, the disk settles to a plane that is tipped at an angle, <math>~\alpha = \tan^{-1}[q^2 \tan i_0]</math>, to the equatorial plane of the halo, where <math>~q</math> is the axis ratio of the halo equipotential surfaces. The equilibrium configuration to which the disk settles appears to be flat but it exhibits distinct nonaxisymmetric features. .</font> </td></tr></table> All three-dimensional hydrodynamic simulations employ [https://ui.adsabs.harvard.edu/abs/1980ApJ...238..103R/abstract Richstone's (1980)] time-independent "axisymmetric logarithmic potential" that is prescribed by the expression, <table border="0" cellpadding="5" align="center"> <tr> <td align="right"> <math>~\Phi(x, y, z)</math> </td> <td align="center"> <math>~=</math> </td> <td align="left"> <math>~ \frac{v_0^2}{2}~ \ln\biggl[x^2 + y^2 + \frac{z^2}{q^2} \biggr] \, . </math> </td> </tr> </table>
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