L_(3,∞)-SOLUTIONS TO THE 3D-NAVIER-STOKES SYSTEM IN A DOMAIN WITH A CURVED BOUNDARY

A. S. Mikhailov; T. N. Shilkin

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L_(3,∞)-SOLUTIONS TO THE 3D-NAVIER-STOKES SYSTEM IN A DOMAIN WITH A CURVED BOUNDARY

机译：具有弯曲边界的3D导航斯托克斯系统的L_（3，∞）-解

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摘要

We show that L_(3,∞)-solutions to the three-dimensional Navier-Stokes equations near a curved smooth part of the boundary are Holder continuous. The corresponding result near a planar part of the boundary was obtained earlier by G. Seregin.

机译：我们表明，边界弯曲平滑部分附近的三维Navier-Stokes方程的L_（3，∞）解是Holder连续的。 G. Seregin早些时候获得了边界平面部分附近的相应结果。

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来源
《Journal of Mathematical Sciences 》 |2007年第2期| p.2924-2935| 共12页
作者
A. S. Mikhailov; T. N. Shilkin;
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St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;

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正文语种 eng
中图分类数学 ;
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L_(3,∞)-SOLUTIONS TO THE 3D-NAVIER-STOKES SYSTEM IN A DOMAIN WITH A CURVED BOUNDARY

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