Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00546943" target="_blank" >RIV/67985840:_____/21:00546943 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.anihpc.2021.01.001" target="_blank" >https://doi.org/10.1016/j.anihpc.2021.01.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.anihpc.2021.01.001" target="_blank" >10.1016/j.anihpc.2021.01.001</a>
Alternative languages
Result language
angličtina
Original language name
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system
Original language description
We consider the vanishing viscosity limit for a model of a general non-Newtonian compressible fluid in Rd, d=2,3. We suppose that the initial data approach a profile determined by the Riemann data generating a planar rarefaction wave for the isentropic Euler system. Under these circumstances the associated sequence of dissipative solutions approaches the corresponding rarefaction wave strongly in the energy norm in the vanishing viscosity limit. The result covers the particular case of a linearly viscous fluid governed by the Navier-Stokes system.
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
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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
Annales de l'Institut Henri Poincaré. Analyse non Linéaire
ISSN
0294-1449
e-ISSN
1873-1430
Volume of the periodical
38
Issue of the periodical within the volume
6
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
13
Pages from-to
1725-1737
UT code for WoS article
000709109300003
EID of the result in the Scopus database
2-s2.0-85100601151