L3,∞-solutions to the 3D-Navier-Stokes system in a domain with a curved boundary |
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| Authors: | A. S. Mikhailov T. N. Shilkin |
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| Affiliation: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
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| Abstract: | We show that L3,∞-solutions to the three-dimensional Navier-Stokes equations near a curved smooth part of the boundary are Hölder continuous. The corresponding result near a planar part of the boundary was obtained earlier by G. Seregin. Bigliography: 22 titles. |
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