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Regularity criterion for 3d navier-stokes equations in terms of the direction of the velocity

✍ Scribed by Alexis Vasseur

Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
112 KB
Volume
54
Category
Article
ISSN
0862-7940

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πŸ“œ SIMILAR VOLUMES

A note on the regularity criterion in te
A note on the regularity criterion in terms of pressure for the Navier–Stokes equations
✍ Samia Benbernou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 372 KB

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

On the regularity criterion for the solu
On the regularity criterion for the solutions of 3D Navier–Stokes equations in weak multiplier spaces
✍ Zaihong Jiang; Sadek Gala; Lidiao Ni πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 109 KB πŸ‘ 1 views

## Communicated by M. Costabel In this work, we improved the regularity criterion on the Cauchy problem for the Navier-Stokes equations in multiplier space in terms of the two partial derivatives of velocity fields, @ 1 u 1 and @ 2 u 2 .

On the regularity criterion of axisymmet
On the regularity criterion of axisymmetric weak solutions to the 3D Navier–Stokes equations
✍ Sadek Gala πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 224 KB

In this paper, we consider the regularity criterion of axisymmetric weak solutions to the Navier-Stokes equations in R 3 . Let u be an axisymmetric weak solution in R 3 Γ— (0, T ), w = curl u, and w ΞΈ be the azimuthal component of w in the cylindrical coordinates. It is proved that u becomes a regula