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On the interior regularity of weak solutions to the non-stationary Stokes system

✍ Scribed by Joachim Naumann; Jörg Wolf


Publisher
Springer US
Year
2007
Tongue
English
Weight
190 KB
Volume
40
Category
Article
ISSN
0925-5001

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Interior regularity criterion via pressu
✍ Tomoyuki Suzuki 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB 👁 2 views

## 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