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On the blow-up criterion of 3D Navier-Stokes equations |
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| Authors: | Jamel Benameur |
| Affiliation: | Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia |
| Abstract: | In this paper we prove some properties of the maximal solution of Navier-Stokes equations. If the maximum time  is finite, we establish that the growth of  is at least of the order of  (see Eq. (1.4)), also we give some new blow-up results. Specific properties and standard techniques are used. |
| Keywords: | Incompressible Navier-Stokes equations Regularity of generalized solutions Sobolev spaces Energy estimate Blow-up criterion |
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