| Title:
|
Regularity and uniqueness for the stationary large eddy simulation model (English) |
| Author:
|
Świerczewska, Agnieszka |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
51 |
| Issue:
|
6 |
| Year:
|
2006 |
| Pages:
|
629-641 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the note we are concerned with higher regularity and uniqueness of solutions to the stationary problem arising from the large eddy simulation of turbulent flows. The system of equations contains a nonlocal nonlinear term, which prevents straightforward application of a difference quotients method. The existence of weak solutions was shown in A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model, ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604 and P. Gwiazda, A. Świerczewska: Large eddy simulation turbulence model with Young measures, Appl. Math. Lett. 18 (2005), 923–929. (English) |
| Keyword:
|
nonlocal operator |
| Keyword:
|
large eddy simulation |
| Keyword:
|
Smagorinsky model |
| Keyword:
|
dynamic Germano model |
| MSC:
|
35D10 |
| MSC:
|
35Q35 |
| MSC:
|
76F65 |
| idZBL:
|
Zbl 1164.76349 |
| idMR:
|
MR2291787 |
| DOI:
|
10.1007/s10492-006-0026-6 |
| . |
| Date available:
|
2009-09-22T18:27:56Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134658 |
| . |
| Reference:
|
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|
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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:
|
[14] A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model.ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604. MR 2156086, 10.1002/zamm.200410200 |
| . |
