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

Hou, Thomas Y. and Lei, Zhen and Li, Congming (2008) Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data. Communications in Partial Differential Equation, 33 (9). pp. 1622-1637. ISSN 0360-5302. doi:10.1080/03605300802108057. https://resolver.caltech.edu/CaltechAUTHORS:20091014-100827184

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Abstract

In this paper, we study the 3D axisymmetric 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 Lp 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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1080/03605300802108057	DOI	Article
http://www.informaworld.com/smpp/content~db=all~content=a901769455	Publisher	Article
http://arxiv.org/abs/0901.3486	arXiv	Discussion Paper

Additional Information:

© 2008 Taylor & Francis. We would like to thank Profs. Charles Fefferman and Fanghua Lin for their interests in this work and for some stimulating discussions. The research was in part supported by NSF under the NSF FRG grant DMS-0353838 and ITR Grant ACI-0204932.

Funders:

Funding Agency	Grant Number
NSF	DMS-0353838
NSF	ACI-0204932

Subject Keywords:

Large anisotropic data; Navier-Stokes equations

Issue or Number:

Classification Code:

Mathematics Subject Classification: 76D03; 76D05; 35Q30

DOI:

10.1080/03605300802108057

Record Number:

CaltechAUTHORS:20091014-100827184

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20091014-100827184

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

16343

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

19 Oct 2009 00:29

Last Modified:

08 Nov 2021 23:26

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