Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524230" target="_blank" >RIV/67985840:_____/20:00524230 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/18M1190872" target="_blank" >https://doi.org/10.1137/18M1190872</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/18M1190872" target="_blank" >10.1137/18M1190872</a>
Alternative languages
Result language
angličtina
Original language name
Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions
Original language description
The question of well- and ill-posedness of entropy admissible solutions to the multi-dimensional systems of conservation laws has been studied recently in the case of isentropic Euler equations. In this context special initial data were considered, namely the 1D Riemann problem which is extended trivially to a second space dimension. It was shown that there exist infinitely many bounded entropy admissible weak solutions to such a 2D Riemann problem for isentropic Euler equations if the initial data give rise to a 1D self-similar solution containing a shock. In this work we study such a 2D Riemann problem for the full Euler system in two space dimensions and prove the existence of infinitely many bounded entropy admissible weak solutions in the case that the Riemann initial data give rise to the 1D self-similar solution consisting of two shocks and possibly a contact discontinuity.
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/GJ17-01694Y" target="_blank" >GJ17-01694Y: Mathematical analysis of partial differential equations describing inviscid flows</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Mathematical Analysis
ISSN
0036-1410
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
32
Pages from-to
1729-1760
UT code for WoS article
000546971100024
EID of the result in the Scopus database
2-s2.0-85084422987