Gravity and a Geometrization of Turbulence: An Intriguing Correspondence

Apr, 2010
20 pages
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Citations per year

2010201320162019202201234567
Abstract: (arXiv)
The dynamics of fluids is a long standing challenge that remained as an unsolved problem for centuries. Understanding its main features, chaos and turbulence, is likely to provide an understanding of the principles and non-linear dynamics of a large class of systems far from equilibrium. We consider a conceptually new viewpoint to study these features using black hole dynamics. Since the gravitational field is characterized by a curved geometry, the gravity variables provide a geometrical framework for studying the dynamics of fluids: A geometrization of turbulence.
  • 11.25.Tq
  • 47.10.ad
  • turbulence
  • gravitation
  • fluid
  • nonlinear
  • black hole
  • geometry
  • chaos
  • hydrodynamics