Abstract
We give a new concise proof of a certain one-scale epsilon regularity criterion using weak-strong uniqueness for solutions of the Navier–Stokes equations with non-zero boundary conditions. It is inspired by an analogous approach for the stationary system due to Struwe.
| Original language | English |
|---|---|
| Article number | 49 |
| Number of pages | 12 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 25 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 24 May 2023 |
Funding
DA was supported by NSF Postdoctoral Fellowship Grant No. 2002023. DA is also grateful to ENS Paris for supporting his academic visit to Paris during which this research was initiated. DA thanks Vladimír Šverák, who contributed an offhanded comment in 2017 which played a role in the genesis of this paper. CP is partially supported by the Agence Nationale de la Recherche, Project BORDS, Grant ANR-16-CE40-0027-01, Project SINGFLOWS, Grant ANR-18-CE40-0027-01, Project CRISIS, Grant ANR-20-CE40-0020-01, by the CY Initiative of Excellence, Project CYNA (CY Nonlinear Analysis) and Project CYFI (CYngular Fluids and Interfaces).
ASJC Scopus subject areas
- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics