𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new regularity criterion for weak solutions to the Navier–Stokes equations

✍ Scribed by Yong Zhou

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
149 KB
Volume
84
Category
Article
ISSN
0021-7824

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Interior regularity criterion via pressu
Interior regularity criterion via pressure on weak solutions to the Navier–Stokes equations
✍ 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

On the regularity criterion of axisymmet
On the regularity criterion of axisymmetric weak solutions to the 3D Navier–Stokes equations
✍ Sadek Gala 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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 × (0, T ), w = curl u, and w θ be the azimuthal component of w in the cylindrical coordinates. It is proved that u becomes a regula

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 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 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 .

Existence and Regularity of a Class of W
Existence and Regularity of a Class of Weak Solutions to the Navier–Stokes Equations
✍ Cheng He 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 241 KB

We construct a class of weak solutions to the Navier᎐Stokes equations, which have second order spatial derivatives and one order time derivatives, of p power s Ž 2, r Ž .. summability for 1p F 5r4. Meanwhile, we show that u g L 0, T ; W ⍀ with 1rs q 3r2 r s 2 for 1r F 5r4. r can be relaxed not to ex