| Title:
|
Global existence for a nuclear fluid in one dimension: the $T>0$ case (English) |
| Author:
|
Ducomet, B. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
45-75 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a simplified one-dimensional thermal model of nuclear matter, described by a system of Navier-Stokes-Poisson type, with a non monotone equation of state due to an effective nuclear interaction. We prove the existence of globally defined (large) solutions of the corresponding free boundary problem, with an exterior pressure $P$ which is not required to be positive, provided sufficient thermal dissipation is present. We give also a partial description of the asymptotic behaviour of the system, in the two cases $P>0$ and $P<0$. (English) |
| Keyword:
|
Navier-Stokes equations |
| Keyword:
|
compressible fluid |
| MSC:
|
74D10 |
| MSC:
|
76D05 |
| MSC:
|
76N15 |
| idZBL:
|
Zbl 1090.76517 |
| idMR:
|
MR1876491 |
| DOI:
|
10.1023/A:1021754900964 |
| . |
| Date available:
|
2009-09-22T18:08:40Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134484 |
| . |
| Reference:
|
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| Reference:
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| . |
