This monograph introduces readers to the hydrodynamics of vortex formation  and reviews the
last decade of active research in the field  offering a unique focus on research topics at the
crossroads of traditional fluids and plasmas.Vortices are responsible for the process of
macroscopic transport of momentum  energy and mass  and are formed as the result of spontaneous
self-organization. Playing an important role in nature and technology  localized  coherent
vortices are regularly observed in shear flows  submerged jets  afterbody flows and in
atmospheric boundary layers  sometimes taking on the form of vortex streets.In addition  the
book addresses a number of open issues  including but not limited to: which singularities are
permitted in a 2D Euler equation besides point vortices? Which other  even more complex 
localized vortices could be contained in the Euler equation? How do point vortices interact
with potential waves?