LOCAL REGULARITY CRITERIA OF THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS

Title & Authors
LOCAL REGULARITY CRITERIA OF THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS
Bae, Hyeong-Ohk; Kang, Kyungkeun; Kim, Myeonghyeon;

Abstract
We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm $\small{L^{p,q}_{x,t}}$ with 3/p + 2/q
Keywords
Navier-Stokes equations;slip boundary data;suitable weak solution;
Language
English
Cited by
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