Coherent Vortex Structures in Fluids and Plasmas

  • Anatoli Tur
  • Vladimir Yanovsky

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-x
  2. Anatoli Tur, Vladimir Yanovsky
    Pages 1-14
  3. Anatoli Tur, Vladimir Yanovsky
    Pages 15-74
  4. Anatoli Tur, Vladimir Yanovsky
    Pages 75-128
  5. Anatoli Tur, Vladimir Yanovsky
    Pages 129-174
  6. Anatoli Tur, Vladimir Yanovsky
    Pages 175-253
  7. Anatoli Tur, Vladimir Yanovsky
    Pages 255-299
  8. Back Matter
    Pages 301-306

About this book


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?


Dynamics of point singularities 2D Euler equation Potential waves Topological solitons Plasma vortices Point vortices Vortex streets Vortex patches Point vortices motion Large scale vorticity in 3d flows

Authors and affiliations

  • Anatoli Tur
    • 1
  • Vladimir Yanovsky
    • 2
  1. 1.Institut de Recherche en Astrophysique et PlanétologieCNRS, SC. de L’Univ.Toulouse CX 04France
  2. 2.Institute for Single CrystalsNational Academy of Science of UkraineKharkovUkraine

Bibliographic information