Regularity Issue of the Navier-Stokes Equations Involving the Combination of Pressure and Velocity Field

Guo, Zhengguang; Wittwer, Peter; Wang, Weiming

doi:10.1007/s10440-012-9717-z

Scientific article

English

Regularity Issue of the Navier-Stokes Equations Involving the Combination of Pressure and Velocity Field

ContributorsGuo, Zhengguang; Wittwer, Peter; Wang, Weiming

Published inActa applicandae mathematicae, vol. 123, no. 1, p. 99-112

Publication date2013

Abstract

We establish some regularity criteria for the incompressible Navier-Stokes equations in a bounded three-dimensional domain concerning the quotients of the pressure, the velocity field and the pressure gradient.

Keywords

Navier-Stokes equations
Regularity criterion
A priori estimates

Affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

GUO, Zhengguang, WITTWER, Peter, WANG, Weiming. Regularity Issue of the Navier-Stokes Equations Involving the Combination of Pressure and Velocity Field. In: Acta applicandae mathematicae, 2013, vol. 123, n° 1, p. 99–112. doi: 10.1007/s10440-012-9717-z

Article (Published version)

Identifiers

PID : unige:36394
DOI : 10.1007/s10440-012-9717-z

Additional URL for this publicationhttp://link.springer.com/10.1007/s10440-012-9717-z

Journal ISSN0167-8019

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Regularity Issue of the Navier-Stokes Equations Involving the Combination of Pressure and Velocity Field

We establish some regularity criteria for the incompressible Navier-Stokes equations in a bounded three-dimensional domain concerning the quotients of the pressure, the velocity field and the pressure gradient.

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