| Title:
|
A note on measure-valued solutions to the full Euler system (English) |
| Author:
|
Mácha, Václav |
| Author:
|
Wiedemann, Emil |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
67 |
| Issue:
|
4 |
| Year:
|
2022 |
| Pages:
|
419-430 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We construct two particular solutions of the full Euler system which emanate from the same initial data. Our aim is to show that the convex combination of these two solutions form a measure-valued solution which may not be approximated by a sequence of weak solutions. As a result, the weak* closure of the set of all weak solutions, considered as parametrized measures, is not equal to the space of all measure-valued solutions. This is in stark contrast with the incompressible Euler equations. (English) |
| Keyword:
|
measure-valued solution |
| Keyword:
|
compressible Euler system |
| MSC:
|
35B99 |
| MSC:
|
35Q31 |
| idZBL:
|
Zbl 07584078 |
| idMR:
|
MR4444785 |
| DOI:
|
10.21136/AM.2021.0279-20 |
| . |
| Date available:
|
2022-06-28T13:19:40Z |
| Last updated:
|
2024-09-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150434 |
| . |
| Reference:
|
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| Reference:
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