A P ] 2 0 Ja n 20 03 A CONDITION IMPLYING REGULARITY OF THE THREE DIMENSIONAL NAVIER-STOKES EQUATION

@inproceedings{MontgomerySmith2009AP,
  title={A P ] 2 0 Ja n 20 03 A CONDITION IMPLYING REGULARITY OF THE THREE DIMENSIONAL NAVIER-STOKES EQUATION},
  author={Stephen Montgomery-Smith},
  year={2009}
}
A famous open problem is to prove regularity of the Navier-Stokes equation, that is, if the initial data u0 is in L2 and is regular (which in this paper we will define to mean that it is in the Sobolev spaces W n,q for some 2 ≤ q < ∞ and all positive integers n), then the solution u(t) is regular for all t ≥ 0. Such regularity would also imply uniqueness of… CONTINUE READING