Field Theory and Turbulence

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Collection Number25313
Collection TypeDiscussion Meeting
Source RepositoryICTS-TIFR
Description

Turbulence is an important problem of science and engineering. The flow arising from Navier-Stokes equations at large Reynolds number is always turbulent. Physicists, mathematicians, and engineers have been engaged in modelling turbulence for quite some time, but the problem is unfinished despite considerable progress. Buoyed by the success of Quantum Field Theory (QFT), which is one of the most successful theories in high energy and condensed matter physics, many researchers have applied it to model turbulence. In addition, turbulent flows exhibit universal power laws, similar to those in critical phenomena. There have been serious efforts to develop a theory for these properties faithfully (i.e. without approximations) from the Navier-Stokes equations. Researchers have also attempted to relate turbulence to conformal field theory. The slowly varying black-hole solutions of Einstein equations with negative cosmological constant have been mapped to solutions of relativistic fluid equat...