𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on Gevrey class regularity for the solutions of the Navier-Stokes equations

✍ Scribed by Xiaosong Liu

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
285 KB
Volume
167
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Existence and Regularity of a Class of W
Existence and Regularity of a Class of Weak Solutions to the Navier–Stokes Equations
✍ Cheng He πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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 Ε½ 2, r Ε½ .. 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

Sufficient conditions for the regularity
Sufficient conditions for the regularity of the solutions of the Navier–Stokes equations
✍ Luigi C. Berselli πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 101 KB πŸ‘ 2 views

In this paper we "nd su$cient conditions, involving only the pressure, that ensure the regularity of weak solutions to the Navier}Stokes equations. Conditions involving only the pressure were previously obtained in [7,4]. Following a remark in this last reference we improve, in particular, Kaniel's