Convergence of hydrodynamics in a rotating strongly coupled plasma

We compute the radius of convergence of the linearized relativistic hydrodynamic expansion around a nontrivially rotating strongly coupled N=4 super-Yang-Mills plasma. Our results show that the validity of hydrodynamics is sustained and can even get enhanced for conformal field theory (CFT) in a rotating state. Analytic equations for the hydrodynamic dispersion relations and transport coefficients of the rotating plasma as a function of their values in a plasma at rest are given.