학술저널
LOCAL REGULARITY OF THE STEADY STATE NAVIER-STOKES EQUATIONS NEAR BOUNDARY IN FIVE DIMENSIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 3
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2009.09557 - 569 (13 pages)
- 0
We present a new regularity criterion for suitable weak solutions of the steady-state Navier-Stokes equations near boundary in dimension ¯ve. We show that suitable weak solutions are regular up to the boundary if the scaled L 52 ¡norm of the solution is small near the boundary. Our result is also valid in the interior.
1. Introduction
2. Local boundary regularity
Appendix
Acknowledgments.
References
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