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Interior Regularity Criteria for Suitable Weak Solutions of the Navier-Stokes Equations

✍ Scribed by Stephen Gustafson; Kyungkeun Kang; Tai-Peng Tsai

Publisher: Springer
Year: 2007
Tongue: English
Weight: 219 KB
Volume: 273
Category: Article
ISSN: 0010-3616
DOI: 10.1007/s00220-007-0214-6

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## 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 pos