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Interior regularity criterion via pressure on weak solutions to the Navier–Stokes equations

✍ Scribed by Tomoyuki Suzuki

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
158 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Consider the nonstationary Navier–Stokes equations in Ω × (0, T), where Ω is a bounded domain in ℝ^3^. We prove interior regularity for suitable weak solutions under some condition on the pressure in the class of scaling invariance. The notion of suitable weak solutions makes it possible to obtain better information around the singularities. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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