We consider suitably weak solutions (u, p) to the incompressible Navier-Stokes equations and under various assumptions on u obtain estimates for the size of its singular set. One of our results improves a well known theorem of Caffarelli, Kohn, and Nirenberg.
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1Supported by an NSF Grant. Part of this research was carried out while the second author was a visitor at KAIST. He thanks KAIST for the gracious hospitality extended him while he was a visitor.
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