| Title:
|
The scalar Oseen operator $-\Delta + {\partial}/{\partial x_1}$ in $\mathbb{R}^2$ (English) |
| Author:
|
Amrouche, Chérif |
| Author:
|
Bouzit, Hamid |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
41-80 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in $L^{p}$ theory. (English) |
| Keyword:
|
Oseen equation |
| Keyword:
|
weighted Sobolev space |
| Keyword:
|
anisotropic weight |
| MSC:
|
26D15 |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
76D03 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 1177.76080 |
| idMR:
|
MR2382289 |
| DOI:
|
10.1007/s10492-008-0012-2 |
| . |
| Date available:
|
2009-09-22T18:32:08Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134698 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
