| Title:
|
Stability with respect to domain of the low Mach number limit of compressible heat-conducting viscous fluid (English) |
| Author:
|
Wróblewska-Kamińska, Aneta |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
231-243 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the asymptotic limit of solutions to the Navier-Stokes-Fourier system with the Mach number proportional to a small parameter $\varepsilon \rightarrow 0$, the Froude number proportional to $\sqrt{\varepsilon}$ and when the fluid occupies large domain with spatial obstacle of rough surface varying when $\varepsilon\rightarrow 0$. The limit velocity field is solenoidal and satisfies the incompressible Oberbeck–Boussinesq approximation. Our studies are based on weak solutions approach and in order to pass to the limit in a convective term we apply the spectral analysis of the associated wave propagator (Neumann Laplacian) governing the motion of acoustic waves. (English) |
| Keyword:
|
Oberbeck-Boussinesq approximation |
| Keyword:
|
singular limit |
| Keyword:
|
low Mach number |
| Keyword:
|
unbounded domain |
| Keyword:
|
compressible Navier-Stokes-Fourier system |
| Keyword:
|
weak solutions |
| Keyword:
|
no-slip boundary condition |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| idZBL:
|
Zbl 07675593 |
| idMR:
|
MR4563035 |
| DOI:
|
10.5817/AM2023-2-231 |
| . |
| Date available:
|
2023-02-22T14:51:27Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151570 |
| . |
| 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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