| Title:
|
Incompressible limit of a fluid-particle interaction model (English) |
| Author:
|
Wang, Hongli |
| Author:
|
Yang, Jianwei |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
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1572-9109 (online) |
| Volume:
|
66 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
69-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The incompressible limit of the weak solutions to a fluid-particle interaction model is studied in this paper. By using the relative entropy method and refined energy analysis, we show that, for well-prepared initial data, the weak solutions of the compressible fluid-particle interaction model converge to the strong solution of the incompressible Navier-Stokes equations as long as the Mach number goes to zero. Furthermore, the desired convergence rates are also obtained. (English) |
| Keyword:
|
incompressible limit |
| Keyword:
|
relative entropy method |
| Keyword:
|
fluid-particle interaction model |
| Keyword:
|
incompressible Navier-Stokes equation |
| MSC:
|
35B25 |
| MSC:
|
35G25 |
| MSC:
|
35Q35 |
| idZBL:
|
07332690 |
| idMR:
|
MR4218603 |
| DOI:
|
10.21136/AM.2020.0253-19 |
| . |
| Date available:
|
2021-01-28T09:59:19Z |
| Last updated:
|
2023-03-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148511 |
| . |
| Reference:
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| . |
