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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📜 SIMILAR VOLUMES
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
## 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