| Title:
|
A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum (English) |
| Author:
|
Frehse, Jens |
| Author:
|
Goj, Sonja |
| Author:
|
Málek, Josef |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
6 |
| Year:
|
2005 |
| Pages:
|
527-541 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a continuum model describing steady flows of a miscible mixture of two fluids. The densities $\rho _i$ of the fluids and their velocity fields $u^{(i)}$ are prescribed at infinity: $\rho _i|_{\infty } = \rho _{i \infty } > 0$, $u^{(i)}|_{\infty } = 0$. Neglecting the convective terms, we have proved earlier that weak solutions to such a reduced system exist. Here we establish a uniqueness type result: in the absence of the external forces and interaction terms, there is only one such solution, namely $\rho _i \equiv \rho _{i \infty }$, $u^{(i)} \equiv 0$, $i=1,2$. (English) |
| Keyword:
|
miscible mixture |
| Keyword:
|
compressible fluid |
| Keyword:
|
uniqueness |
| Keyword:
|
zero force |
| MSC:
|
35D05 |
| MSC:
|
35Q30 |
| MSC:
|
35Q35 |
| MSC:
|
76D03 |
| MSC:
|
76D07 |
| MSC:
|
76N10 |
| MSC:
|
76T99 |
| idZBL:
|
Zbl 1099.35079 |
| idMR:
|
MR2181024 |
| DOI:
|
10.1007/s10492-005-0035-x |
| . |
| Date available:
|
2009-09-22T18:23:58Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134621 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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