## Abstract In this paper, we exclude the possibility of existence of a singular solution of the selfsimilar type proposed by Jean Leray More precisely, using a slightly stronger hypothesis we give a simpler proof to the analogous result established by J. Nečas, M. Rúžička and V. Šverák. We also di
On the Singular Set in the Navier–Stokes Equations
✍ Scribed by Hi Jun Choe; John L. Lewis
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 168 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
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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