New global regularity result for the 3D incompressible Navier–Stokes equations
In this paper we establish the global existence in time of strong solutions to the 3D incompressible Navier–Stokes system for small viscosity and large initial data. The obtained result is valid in bounded domains and in the whole space. This result provides valuable insights into significant open problems in both physics and mathematics.
Authors
- Abdelhafid Younsi (ORCID: https://orcid.org/0000-0002-7852-8839)
Institutions
- Ziane Achour University of Djelfa (DZ)
Publication Details
- Journal
- Partial Differential Equations in Applied Mathematics
- Published
- 2025-09-27
- DOI
- https://doi.org/10.1016/j.padiff.2025.101306
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00