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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

  • Czech description

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/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

  • 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