A note on measure-valued solutions to the full Euler system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558262" target="_blank" >RIV/67985840:_____/22:00558262 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.21136/AM.2021.0279-20" target="_blank" >https://dx.doi.org/10.21136/AM.2021.0279-20</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2021.0279-20" target="_blank" >10.21136/AM.2021.0279-20</a>
Alternative languages
Result language
angličtina
Original language name
A note on measure-valued solutions to the full Euler system
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
1572-9109
Volume of the periodical
67
Issue of the periodical within the volume
4
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
12
Pages from-to
419-430
UT code for WoS article
000698990100001
EID of the result in the Scopus database
2-s2.0-85115731170