On the Singular Set in the Navier-Stokes Equations

Hi Jun Choe; John L. Lewis

doi:10.1006/jfan.2000.3582

On the Singular Set in the Navier-Stokes Equations

Hi Jun Choe, John L. Lewis

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

49 Citations (Scopus)

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.

Original language	English
Pages (from-to)	348-369
Number of pages	22
Journal	Journal of Functional Analysis
Volume	175
Issue number	2
DOIs	https://doi.org/10.1006/jfan.2000.3582
Publication status	Published - 2000 Aug 20

Bibliographical note

Funding Information:
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.

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.2000.3582

Cite this

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On the Singular Set in the Navier-Stokes Equations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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