|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Well-posedness for the Navier-Stokes equations with datum in the Sobolev spaces | | D. Q. Khai
; | | Date: |
23 Aug 2016 | | Abstract: | In this paper, we study local well-posedness for the Navier-Stokes linebreak
equations with arbitrary initial data in homogeneous Sobolev spaces
$dot{H}^s_p(mathbb{R}^d)$ for $d geq 2, p > frac{d}{2}, {
m and}
frac{d}{p} - 1 leq s < frac{d}{2p}$. The obtained result improves the known
ones for $p > d$ and $s = 0$ M. Cannone and Y. Meyer (1995). In the case of
critical indexes $s=frac{d}{p}-1$, we prove global well-posedness for
Navier-Stokes equations when the norm of the initial value is small enough.
This result is a generalization of the one in M. Cannone (1997) in which $p =
d$ and $s = 0$. | | Source: | arXiv, 1608.6397 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER