Pressure conditions for the local regularity of solutions of the Navier-Stokes equations

We obtain a relationship between the integrability of the pressure gradient and the the integrability of the velocity for local solutions of the Navier--Stokes equations with finite energy. In particular, we show that if the pressure gradient is sufficiently integrable, then the corresponding veloci...

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Bibliographic Details
Main Author: Mike O'Leary
Format: Article
Language:English
Published: Texas State University 1998-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1998/12/abstr.html