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 |
|---|---|
| Pages (from-to) | 4817-4833 |
| Number of pages | 17 |
| Journal | Nonlinearity |
| Volume | 32 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2019 Oct 29 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics
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Wang, Y., & Yang, M. (2019). Improved bounds for box dimensions of potential singular points to the Navier-Stokes equations. Nonlinearity, 32(12), 4817-4833. https://doi.org/10.1088/1361-6544/ab3f51