Regularity criterion via the pressure on weak solutions to the 3D Navier-Stokes equations

Qionglei Chen, Zhang Zhifei

Type: Article

Publication Date: 2006-12-29

Citations: 26

DOI: https://doi.org/10.1090/s0002-9939-06-08663-1

Abstract

We consider the regularity of weak solutions to the Navier-Stokes equations in $\mathbb {R}^3$. Let $u$ be a Leray-Hopf weak solution. It is proved that $u$ becomes a regular solution if the pressure $p \in L^1(0,T; \dot B^0_{\infty ,\infty })$.

Locations

Proceedings of the American Mathematical Society - View - PDF

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+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
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