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Volume 36, Issue 1
Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations

Siyu Liang, Ping Zhang & Rongchan Zhu

DOI: 10.4208/cmr.2020-0002

Commun. Math. Res., 36 (2020), pp. 31-50.

Published online: 2020-03

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  • Abstract

The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes system.

  • Keywords

Anisotropic Navier-Stokes system, Littlewood-Paley theory, lifespan.

  • AMS Subject Headings

35Q30, 76D03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

liangsiyu@amss.ac.cn (Siyu Liang)

zp@math.ac.cn (Ping Zhang)

zhurongchan@126.com (Rongchan Zhu)

  • BibTex
  • RIS
  • TXT
@Article{CMR-36-31, author = {Liang , SiyuZhang , Ping and Zhu , Rongchan}, title = {Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations}, journal = {Communications in Mathematical Research }, year = {2020}, volume = {36}, number = {1}, pages = {31--50}, abstract = {

The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes system.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0002}, url = {http://global-sci.org/intro/article_detail/cmr/15788.html} }
TY - JOUR T1 - Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations AU - Liang , Siyu AU - Zhang , Ping AU - Zhu , Rongchan JO - Communications in Mathematical Research VL - 1 SP - 31 EP - 50 PY - 2020 DA - 2020/03 SN - 36 DO - http://doi.org/10.4208/cmr.2020-0002 UR - https://global-sci.org/intro/article_detail/cmr/15788.html KW - Anisotropic Navier-Stokes system, Littlewood-Paley theory, lifespan. AB -

The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes system.

Liang , SiyuZhang , Ping and Zhu , Rongchan. (2020). Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations. Communications in Mathematical Research . 36 (1). 31-50. doi:10.4208/cmr.2020-0002
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