Regularity Criteria for the Three-dimensional Navier-Stokes Equations Academic Article

abstract

• In this paper we consider the three-dimensional Navier-Stokes equations subject to periodic boundary conditions or in the whole space. We provide sufficient conditions, in terms of one component of the velocity field, or alternatively in terms of one component of the pressure gradient, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations.

authors

• Titi, Edriss

published proceedings

• INDIANA UNIVERSITY MATHEMATICS JOURNAL

author list (cited authors)

• Cao, C., & Titi, E. S.

citation count

• 143

complete list of authors

• Cao, Chongsheng||Titi, Edriss S

publication date

• December 2008

publisher

• Indiana University  Publisher

published in

• INDIANA UNIVERSITY MATHEMATICS JOURNAL  Journal

keywords

• Global Regularity
• Regularity Criterion
• Three-dimensional Navier-stokes Equations

Digital Object Identifier (DOI)

• 10.1512/iumj.2008.57.3719

start page

• 2643

end page

• 2661

volume

• 57

issue

• 6

URL

• http://dx.doi.org/10.1512/iumj.2008.57.3719