| Title:
|
On the linear problem arising from motion of a fluid around a moving rigid body (English) |
| Author:
|
Nečasová, Šárka |
| Author:
|
Wolf, Jörg |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
140 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
241-259 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study a linear system of equations arising from fluid motion around a moving rigid body, where rotation is included. Originally, the coordinate system is attached to the fluid, which means that the domain is changing with respect to time. To get a problem in the fixed domain, the problem is rewritten in the coordinate system attached to the body. The aim of the present paper is the proof of the existence of a strong solution in a weighted Lebesgue space. In particular, we prove the existence of a global pressure gradient in $L^2$. (English) |
| Keyword:
|
incompressible fluid |
| Keyword:
|
rotating rigid body |
| Keyword:
|
strong solution |
| MSC:
|
35Q35 |
| MSC:
|
76D05 |
| idZBL:
|
Zbl 06486937 |
| idMR:
|
MR3368497 |
| DOI:
|
10.21136/MB.2015.144329 |
| . |
| Date available:
|
2015-06-30T12:23:55Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144329 |
| . |
| Reference:
|
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