Journal article
Partial Regularity for Navier-Stokes Equations
Journal of mathematical fluid mechanics, Vol.27(2), 26
05/2025
DOI: 10.1007/s00021-025-00929-z
Abstract
Using a more geometric approach, we demonstrate that the solutions to the Navier–Stokes equations remain regular except on a set with a null Hausdorff measure of dimension 1. The proof primarily relies on a new compactness lemma and the monotonicity property of harmonic functions. The combination of linear and nonlinear approximation schemes makes the proof clear and transparent.
Details
- Title: Subtitle
- Partial Regularity for Navier-Stokes Equations
- Creators
- Lihe Wang - Department of Mathematics, University of Iowa, School of Mathematical Sciences, Shanghai Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical fluid mechanics, Vol.27(2), 26
- Publisher
- Springer International Publishing
- DOI
- 10.1007/s00021-025-00929-z
- ISSN
- 1422-6928
- eISSN
- 1422-6952
- Grant note
- Simons Foundation
This research is supported in part by a grant from Simons Foundation. The author expresses gratitude to the anonymous referees for their careful reading and valuable suggestions.
- Language
- English
- Date published
- 05/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984797929702771
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