Regular Article
On the Singular Set in the Navier–Stokes Equations☆

https://doi.org/10.1006/jfan.2000.3582Get rights and content
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Abstract

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.

Keywords

Navier–Stokes
singular set
reverse Hölder
Hausdorff measure

Cited by (0)

☆

Communicated by Thomas, Wolff

f1

E-mail: [email protected]

f2

E-mail: [email protected]

1

Supported 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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