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Interior regularity of weak solutions to the perturbed Navier-Stokes equations

✍ Scribed by Pigong Han


Book ID
118795151
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
186 KB
Volume
57
Category
Article
ISSN
0862-7940

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Interior regularity criterion via pressu
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## Abstract Consider the nonstationary Navier–Stokes equations in Ξ© Γ— (0, __T__), where Ξ© 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