Galactic anisotropy and energy extremization

Physics – Fluid Dynamics

Scientific paper

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Astronomical Models, Fluid Dynamics, Galactic Rotation, Galactic Structure, Anisotropy, Euler-Lagrange Equation

Scientific paper

An anisotropic equation of state for disk galaxies is developed and applied to the study of galactic energy extremization. Higher moments of the Boltzmann equations are considered and an equation of state is derived for an anisotropic, cool self-gravitating system. Euler-Lagrange equations for the energy extremals are developed, and arguments are presented for the constant rotation speed solution as the preferred energy extremal. It is concluded that galactic energy is still extremalized by a flat rotation profile when both anisotropic and baroclinic effects are considered.

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