Talk

On the size of the Navier-Stokes singular set

  • Walter Craig (McMaster University, Ontario)
A3 01 (Sophus-Lie room)

Abstract

An estimate on the decay of Fourier space energy density of weak solutions to the Navier - Stokes equations in three space dimensions gives some restrictions on the possibilities for energy concentration. In particular it gives a lower bound on the size of the microlocal analog of the singular set, if the latter is nonempty.

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