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On a Serrin-Type Regularity Criterion for the Navier–Stokes Equations in Terms of the Pressure

✍ Scribed by Michael Struwe


Publisher
Springer
Year
2006
Tongue
English
Weight
129 KB
Volume
9
Category
Article
ISSN
1422-6928

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In this note we establish a Serrin-type regularity criterion in terms of pressure for Leray weak solutions to the Navier-Stokes equation in R d . Here we call u a Leray weak solution if u is a weak solution of finite energy, i.e. It is known that if a Leray weak solution u belongs to then u is reg

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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