Some remarks on steady solutions to the Euler system in Rd
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00539488" target="_blank" >RIV/67985840:_____/21:00539488 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aml.2021.107031" target="_blank" >https://doi.org/10.1016/j.aml.2021.107031</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2021.107031" target="_blank" >10.1016/j.aml.2021.107031</a>
Alternative languages
Result language
angličtina
Original language name
Some remarks on steady solutions to the Euler system in Rd
Original language description
We show that the Euler system of gas dynamics in Rd, d=2,3, with positive far field density and arbitrary far field entropy, admits infinitely many steady solutions with compactly supported velocity. The same proof yields a similar result for the incompressible Euler system with variable density. In particular, these are examples of global in time smooth (non-trivial) solutions for the corresponding time-dependent systems.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics Letters
ISSN
0893-9659
e-ISSN
1873-5452
Volume of the periodical
116
Issue of the periodical within the volume
June
Country of publishing house
US - UNITED STATES
Number of pages
4
Pages from-to
107031
UT code for WoS article
000623682700034
EID of the result in the Scopus database
2-s2.0-85100200939