REGULARITY CRITERIA FOR STRONG SOLUTIONS TO THE 3D NAVIER-STOKES EQUATIONS

In this paper, we study the regularity problem of the 3D incompressible NavierñStokes equations. We prove that the strong solution exists globally for new regularity criteria. For negligible forces, we give an improvement of the known time interval of regularity obtained in [9].

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Source https://hal.science/hal-00724028
Author Younsi, Abdelhafid
Maintainer CCSD
Last Updated May 6, 2026, 00:51 (UTC)
Created May 6, 2026, 00:51 (UTC)
Identifier hal-00724028
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire d'Analyse Mathématique et Numérique des Equations aux Dérivées Partielles (LAMNEDP) ; Faculté des Mathématiques
creator Younsi, Abdelhafid
date 2014-03-15T00:00:00
harvest_object_id 3553811b-c29a-4b44-87ca-412fb0a817a3
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-04-22T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1208.3543
set_spec type:UNDEFINED