Local energy bounds and ϵ -regularity criteria for the 3D Navier–Stokes system

Authors

Cristi Guevara, Louisiana State University
Nguyen Cong Phuc, Louisiana State University

Document Type

Article

Publication Date

6-1-2017

Abstract

The system of three dimensional Navier–Stokes equations is considered. We obtain some new local energy bounds that enable us to improve several ϵ-regularity criteria. The key idea here is to view the ‘head pressure’ as a signed distribution belonging to certain fractional Sobolev space of negative order. This allows us to capture the oscillation of the pressure in our criteria.

Publication Source (Journal or Book title)

Calculus of Variations and Partial Differential Equations

Recommended Citation

Guevara, C., & Phuc, N. (2017). Local energy bounds and ϵ -regularity criteria for the 3D Navier–Stokes system. Calculus of Variations and Partial Differential Equations, 56 (3) https://doi.org/10.1007/s00526-017-1151-7