LOCAL REGULARITY OF THE STEADY STATE NAVIER-STOKES EQUATIONS NEAR BOUNDARY IN FIVE DIMENSIONS

• 발행기관: 충청수학회
• 저자명: Jae woo Kim Myeong hyeon Kim
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 3, 557~569쪽, 전체 13쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.09.30

영문 초록

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.

목차

1. Introduction

2. Local boundary regularity

Appendix

Acknowledgments.

References