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Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure.
- Source :
- Journal of Inequalities & Applications; 2008, Vol. 2008, p1-6, 6p
- Publication Year :
- 2008
-
Abstract
- The article examines the regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure. An interpolation inequality was used to refine when the solution is smooth. Deriving a priori estimates for smooth solutions is measured through multiplying the regularity condition of weak solutions to the Navier-Stokes equations by the interpolation inequality. Since the Leray weak solution satisfies the energy inequality, Serrin's uniqueness criterion can be applied.
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2008
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36072832
- Full Text :
- https://doi.org/10.1155/2008/412678