| Title:
|
Uniqueness of weak solutions of the Navier-Stokes equations (English) |
| Author:
|
Gala, Sadek |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
53 |
| Issue:
|
6 |
| Year:
|
2008 |
| Pages:
|
561-582 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. Let $u$ and $v$ be two weak solutions with the same initial value $a$. If $u$ satisfies the usual energy inequality and if $\nabla v\in L^2(( 0,T) ;\dot X _1(\Bbb R^d)^d)$ where $\dot X_1(\Bbb R^d)$ is the multiplier space, then we have $u=v$. (English) |
| Keyword:
|
Navier-Stokes equations |
| Keyword:
|
solution uniqueness |
| Keyword:
|
weak Leray-Hopf solution |
| Keyword:
|
multiplier space |
| MSC:
|
35D30 |
| MSC:
|
35Q30 |
| MSC:
|
76D03 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 1199.35274 |
| idMR:
|
MR2469066 |
| DOI:
|
10.1007/s10492-008-0042-9 |
| . |
| Date available:
|
2010-07-20T12:40:11Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140341 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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