A remark on the blow-up criterion of strong solutions to the Navier-Stokes equations

作者：Gala Sadek^*

来源：Applied Mathematics and Computation, 2011, 217(22): 9488-9491.

DOI：10.1016/j.amc.2011.03.156

• B-{infinity, infinity}(-1)-norm
• Blow-up phenomena
• Navier-Stokes equations

In this note, we prove that B-infinity,infinity(-1)-norm of the vorticity controls the blow-up phenomena of strong solutions to the Navier-Stokes equations. Our criterion is a limiting case in Yuan-Zhang [11] and an improvement of Giga's result [3].

• 出版日期2011-7-15