Počet záznamů: 1
Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions
- 1.
SYSNO ASEP 0524230 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Nonuniqueness of admissible weak solution to the Riemann problem for the full Euler system in two dimensions Tvůrce(i) Al Baba, Hind (MU-W) SAI, RID, ORCID
Klingenberg, C. (DE)
Kreml, Ondřej (MU-W) RID, SAI, ORCID
Mácha, Václav (MU-W) RID, SAI, ORCID
Markfelder, S. (DE)Zdroj.dok. SIAM Journal on Mathematical Analysis. - : SIAM Society for Industrial and Applied Mathematics - ISSN 0036-1410
Roč. 52, č. 2 (2020), s. 1729-1760Poč.str. 32 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova compressible Euler system ; nonuniqueness ; Riemann problem Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GJ17-01694Y GA ČR - Grantová agentura ČR Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000546971100024 EID SCOPUS 85084422987 DOI 10.1137/18M1190872 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2021 Elektronická adresa https://doi.org/10.1137/18M1190872
Počet záznamů: 1