dc.identifier.uri |
http://dx.doi.org/10.15488/1872 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/1897 |
|
dc.contributor.author |
Chiodaroli, Elisabetta
|
|
dc.contributor.author |
Feireisl, Eduard
|
|
dc.contributor.author |
Kreml, Ondrej
|
|
dc.contributor.author |
Wiedemann, Emil
|
|
dc.date.accessioned |
2017-09-08T08:47:23Z |
|
dc.date.available |
2018-01-07T23:05:13Z |
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dc.date.issued |
2017 |
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dc.identifier.citation |
Chiodaroli, E.; Feireisl, E.; Kreml, O.; Wiedemann, E.: A-free rigidity and applications to the compressible Euler system. In: Annali di Matematica Pura ed Applicata 196 (2017), Nr. 4, S. 1557-1572. DOI: https://doi.org/10.1007/s10231-016-0629-9 |
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dc.description.abstract |
Can every measure-valued solution to the compressible Euler equations be approximated by a sequence of weak solutions? We prove that the answer is negative: generalizing a well-known rigidity result of Ball and James to a more general situation, we construct an explicit measure-valued solution for the compressible Euler equations which cannot be generated by a sequence of distributional solutions. We also give an abstract necessary condition for measure-valued solutions to be generated by weak solutions, relying on work of Fonseca and Müller. While a priori it is not unexpected that not every measure-valued solution arises from a sequence of weak solutions, it is noteworthy that this observation in the compressible case is in contrast to the incompressible situation, where every measure-valued solution can be approximated by weak solutions, as shown by Székelyhidi and Wiedemann. The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-016-0629-9. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Heidelberg : Springer Verlag |
|
dc.relation.ispartofseries |
Annali di Matematica Pura ed Applicata (2017) |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
|
dc.subject |
$$\mathcal {A}$$A-free condition |
eng |
dc.subject |
Compressible Euler equations |
eng |
dc.subject |
Measure-valued solutions |
eng |
dc.subject |
Rigidity |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
A-free rigidity and applications to the compressible Euler system |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
03733114 |
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dc.relation.doi |
https://doi.org/10.1007/s10231-016-0629-9 |
|
dc.bibliographicCitation.issue |
4 |
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dc.bibliographicCitation.volume |
196 |
|
dc.bibliographicCitation.firstPage |
1557 |
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dc.bibliographicCitation.lastPage |
1572 |
|
dc.description.version |
acceptedVersion |
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tib.accessRights |
frei zug�nglich |
|