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Weak-strong uniqueness property for the full Navier-Stokes-Fourier system

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00376740" target="_blank" >RIV/67985840:_____/12:00376740 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00205-011-0490-3" target="_blank" >http://dx.doi.org/10.1007/s00205-011-0490-3</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00205-011-0490-3" target="_blank" >10.1007/s00205-011-0490-3</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weak-strong uniqueness property for the full Navier-Stokes-Fourier system

  • Original language description

    The Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat conducting fluid is known to possess global-in-time weak solutions for any initial data of finite energy. We show that a weak solution coincides with the strong solution, emanating from the same initial data, as long as the latter exists. In particular, strong solutions are unique within the class of weak solutions.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archive for Rational Mechanics and Analysis

  • ISSN

    0003-9527

  • e-ISSN

  • Volume of the periodical

    204

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    24

  • Pages from-to

    683-706

  • UT code for WoS article

    000302738000009

  • EID of the result in the Scopus database