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Volume 21, Issue 3
A Remark on the Blow-up Criterion of Strong Solutions and Regularity for Weak Solutions of Navier-Stokes Equations

Jia Yuan

J. Part. Diff. Eq., 21 (2008), pp. 208-220.

Published online: 2008-08

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  • Abstract
IWe give blow-up criteria of strong solutions of Navier-Stokes equations with its initial data in Besov spaces and consider the regularity of Leray-Hopf solutions of the equation.
  • Keywords

Naiver-Stokes equations blow-up Littlewood-Paley decomposition Leray-Hopf weak solution Besov space

  • AMS Subject Headings

76W05 35B65.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-21-208, author = {Jia Yuan }, title = {A Remark on the Blow-up Criterion of Strong Solutions and Regularity for Weak Solutions of Navier-Stokes Equations}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {3}, pages = {208--220}, abstract = { IWe give blow-up criteria of strong solutions of Navier-Stokes equations with its initial data in Besov spaces and consider the regularity of Leray-Hopf solutions of the equation.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5278.html} }
TY - JOUR T1 - A Remark on the Blow-up Criterion of Strong Solutions and Regularity for Weak Solutions of Navier-Stokes Equations AU - Jia Yuan JO - Journal of Partial Differential Equations VL - 3 SP - 208 EP - 220 PY - 2008 DA - 2008/08 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5278.html KW - Naiver-Stokes equations KW - blow-up KW - Littlewood-Paley decomposition KW - Leray-Hopf weak solution KW - Besov space AB - IWe give blow-up criteria of strong solutions of Navier-Stokes equations with its initial data in Besov spaces and consider the regularity of Leray-Hopf solutions of the equation.
Jia Yuan . (2008). A Remark on the Blow-up Criterion of Strong Solutions and Regularity for Weak Solutions of Navier-Stokes Equations. Journal of Partial Differential Equations. 21 (3). 208-220. doi:
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