Authors: Daniel Thomas Hayes
The Navier--Stokes equations are used to describe viscous incompressible fluid flow. It has been on the list of the Clay Mathematics Institute’s millennium prize problems to decide whether or not physically reasonable solutions to the Navier--Stokes equations do in general exist. In this paper, the problem on the existence and smoothness of the Navier--Stokes equations is solved. It is proven that the Navier--Stokes equations are globally regular.
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