Analytic approaches to relativistic hydrodynamics

I summarize our recent work towards finding and utilizing analytic solutions of relativistic hydrodynamic. In the first part I discuss various exact solutions of the second-order conformal hydrodynamics. In the second part I compute flow harmonics vn analytically using the anisotropically deformed Gubser flow and discuss its dependence on n, pT, viscosity, the chemical potential and the charge.