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Local regularity criteria of the Navier-Stokes equations with slip boundary conditions

김명현|강경근|배형옥
대한수학회 (The Korean Mathematical Society)|2016.05|대한수학회지 (Journal of the KMS)|제53권 제3호|pp. 597-621

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참고문헌

키워드

Navier-Stokes equationsslip boundary datasuitable weak solution
주제분류수학

초록

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 $L^{p,q}_{x,t}$ with $3/p+2/q=2$, $1\leq q<\infty$ is sufficiently small in the neighborhood.

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 $L^{p,q}_{x,t}$ with $3/p+2/q=2$, $1\leq q<\infty$ is sufficiently small in the neighborhood.

참고문헌 (36)

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