Terence Tao inches closer to the resolution of the Navier–Stokes problem

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Terence Tao inches closer to the resolution of the Navier–Stokes problem

Wednesday, July 26, 2017

Professor Terence Tao of the University of California, Los Angeles has published a new paper which makes progress towards the resolution of the questions of existence and regularity of the Navier–Stokes equations. Indeed, he proved that some tools which enabled him to deduce a finite-time blowup for a simplified version of the Euler equations (which are a form of the Navier–Stokes equations applicable when there is no (or close to no) viscosity) may also be applied to cases of a natural generalisation of the Euler equations to certain manifolds.

The article of Prof. Tao is one of a series of articles by him on the subject of PDEs related to fluid dynamics.

Solutions or even approximate solutions to the Navier–Stokes equations can, to a certain extent, predict the behaviour of a fluid.

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