Bilinear estimates in BMO and the Navier-Stokes equations |
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| Authors: | Hideo Kozono Yasushi Taniuchi |
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| Affiliation: | (1) Mathematical Institute, Tohoku University, Sendai, 980–8578 Japan (e-mail: kozono@math.tohoku.ac.jp), JP;(2) Graduate School of Mathematics, Nagoya University, Nagoya, 464–8602 Japan (e-mail:y-tani@math.nagoya-u.ac.jp), JP |
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| Abstract: | We prove that the BMO norm of the velocity and the vorticity controls the blow-up phenomena of smooth solutions to the Navier-Stokes equations. Our result is applied to the criterion on uniqueness and regularity of weak solutions in the marginal class. Received February 15, 1999; in final form October 11, 1999 / Published online July 3, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35Q30 |
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