Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices |
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| Authors: | Baoquan Yuan |
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| Institution: | a College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province 454000, PR China
b Institute of Applied Mathematics, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100080, PR China |
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| Abstract: | A Hölder type inequality in Besov spaces is established and applied to show that every strong solution u(t,x) on (0,T) of the Navier-Stokes equations can be continued beyond t>T provided that the vorticity  for 0<α<1. |
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| Keywords: | 35Q30 |
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