Vortex knots for the spheromak fluid flow and their moduli spaces

New exact solutions to the Euler hydrodynamics equations are constructed. A method for the study of vortex knots is developed for a special class of ideal fluid flows - the axisymmetric ones satisfying the Beltrami equation curlV(x)=λV(x). The method is based on a construction of the moduli spaces of vortex knots S(R3). Applying the method to the spheromak fluid flow we demonstrate that only those torus knots Kp,q are realized as vortex knots for which p/q belongs to the interval I1:0.5<τ