Abstract
In this paper, we study the potential singular points of interior and boundary suitable weak solutions to the 3D Navier-Stokes equations. It is shown that the upper box dimensions of interior singular points and boundary singular points are bounded by 7/6 and 10/9, respectively. Both proofs rely on the recent progress of ϵ-regularity criteria at one scale.
Original language | English |
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Pages (from-to) | 4817-4833 |
Number of pages | 17 |
Journal | Nonlinearity |
Volume | 32 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2019 Oct 29 |
Bibliographical note
Publisher Copyright:© 2019 IOP Publishing Ltd & London Mathematical Society.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics