On the convergence of the hydrodynamics of rotating plasmas*

In this presentation I will report on novel theoretical methods demonstrating the effectiveness of hydrodynamics in rotating systems. Recently developed techniques making use of complex analysis and the mathematical theory of plane curves allow one to derive the radius of convergence of the linearized hydrodynamic series. Utilizing these techniques I will show how the convergence of the hydrodynamic series of a particular, strongly coupled, rotating plasma can be expressed in terms of non-rotating quantities.