Article
| 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 |
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| Category: | math |
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| 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 |
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| Date available: | 2022-06-28T13:19:40Z |
| Last updated: | 2022-12-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150434 |
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