Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data

Simple item page
dc.creatorHou, Thomas Y.
dc.creatorLei, Zhen
dc.creatorLi, Congming
dc.date2009-01-22
dc.date2009-01-24
dc.date.accessioned2026-07-07T12:33:33Z
dc.date.available2026-07-07T12:33:33Z
dc.descriptionIn this paper, we study the 3D axi-symmetric Navier-Stokes Equations with swirl. We prove the global regularity of the 3D Navier-Stokes equations for a family of large anisotropic initial data. Moreover, we obtain a global bound of the solution in terms of its initial data in some $L^p$ norm. Our results also reveal some interesting dynamic growth behavior of the solution due to the interaction between the angular velocity and the angular vorticity fields.
dc.identifierhttps://arxiv.org/abs/0901.3486
dc.identifierhttp://arxiv.org/abs/0901.3486
dc.identifierCommunications in Partial Differential Equations, 33 (2008), no. 9, 1622-1637
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217165
dc.subjectAnalysis of PDEs
dc.subject35Q30, 76D05
dc.titleGlobal Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data
dc.typetext

Files

Collections

arXiv