Regularity for solutions to the Navier-Stokes equations with one velocity component regular
In this paper, we establish a regularity criterion for solutions to the Navier-stokes equations, which is only related to one component of the velocity field. Let $(u, p)$ be a weak solution to the Navier-Stokes equations. We show that if any one component of the velocity field $u$, for example $u_3...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/29/abstr.html |