Gravity and a geometrisation of turbulence: an intriguing correspondence
Abstract: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 characterised by a curved geometry, the gravity variables provide a geometrical framework for studying the dynamics of fluids: a geometrisation of turbulence.
Document Type: Research Article
Publication date: January 1, 2011