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
Regularity criterion in terms of pressure for the Navier–Stokes equations
✍ Scribed by Dongho Chae; Jihoon Lee
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 96 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this work, a regularity criterion is proved for local strong solutions of the Navier-Stokes equations in the presence of mass diffusion.
## 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
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