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A Sufficient Condition on the Pressure for the Regularity of Weak Solutions to the Navier—Stokes Equations

✍ Scribed by H. Beirão da Veiga

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

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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