## Abstract In this paper we derive a decay rate of the __L__^2^‐norm of the solution to the 3‐D Navier–Stokes equations. Although the result which is proved by Fourier splitting method is well known, our method is new, concise and direct. Moreover, it turns out that the new method established here
On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations
✍ Scribed by Hammadi Abidi; Guilong Gui; Ping Zhang
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 369 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
dedicated to professor hermann sohr on the occasion of his 60th birthday Consider weak solutions w of the Navier Stokes equations in Serrin's class w # L : (0, ; L q (0)) for 2Â:+3Âq=1 with 3<q , where 0 is a general unbounded domain in R 3 . We shall show that although the initial and external di
## Abstract We consider the problem of the asymptotic behaviour in the __L__^2^‐norm of solutions of the Navier–Stokes equations. We consider perturbations to the rest state and to stationary motions. In both cases we study the initial‐boundary value problem in unbounded domains with non‐compact bo