4.4 Article

ON THE REGULARITY OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

Journal

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 11, Issue 2, Pages 747-761

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2012.11.747

Keywords

Navier-Stokes equations; weak solutions; strong solutions; blow-up; regularity criteria

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This article is concerned with the incompressible Navier-Stokes equations in a three-dimensional domain. A criterion of Prodi-Serrin type up to the boundary for global existence of strong solutions is established.

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