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An Interior Regularity Criterion for an Axially Symmetric Suitable Weak Solution to the Navier—Stokes Equations

✍ Scribed by J. Neustupa; M. Pokorný


Publisher
Springer
Year
2000
Tongue
English
Weight
432 KB
Volume
2
Category
Article
ISSN
1422-6928

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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