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A note on measure-valued solutions to the full Euler system

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558262" target="_blank" >RIV/67985840:_____/22:00558262 - isvavai.cz</a>

  • Result on the web

    <a href="https://dx.doi.org/10.21136/AM.2021.0279-20" target="_blank" >https://dx.doi.org/10.21136/AM.2021.0279-20</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.21136/AM.2021.0279-20" target="_blank" >10.21136/AM.2021.0279-20</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A note on measure-valued solutions to the full Euler system

  • Original language description

    We construct two particular solutions of the full Euler system which emanate from the same initial data. Our aim is to show that the convex combination of these two solutions form a measure-valued solution which may not be approximated by a sequence of weak solutions. As a result, the weak* closure of the set of all weak solutions, considered as parametrized measures, is not equal to the space of all measure-valued solutions. This is in stark contrast with the incompressible Euler equations.

  • 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/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

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Applications of Mathematics

  • ISSN

    0862-7940

  • e-ISSN

    1572-9109

  • Volume of the periodical

    67

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    12

  • Pages from-to

    419-430

  • UT code for WoS article

    000698990100001

  • EID of the result in the Scopus database

    2-s2.0-85115731170