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Existence of weak solutions for compressible Navier-Stokes equations with entropy transport

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00462771" target="_blank" >RIV/67985840:_____/16:00462771 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/16:10333388

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jde.2016.06.029" target="_blank" >http://dx.doi.org/10.1016/j.jde.2016.06.029</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jde.2016.06.029" target="_blank" >10.1016/j.jde.2016.06.029</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence of weak solutions for compressible Navier-Stokes equations with entropy transport

  • Original language description

    We consider the compressible Navier–Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in the Navier–Stokes–Fourier system, satisfies only the transport equation. We provide existence results within three alternative weak formulations of the corresponding classical problem. Our constructions hold for the optimal range of the adiabatic coefficients from the point of view of the nowadays existence theory.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Differential Equations

  • ISSN

    0022-0396

  • e-ISSN

  • Volume of the periodical

    261

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    38

  • Pages from-to

    4448-4485

  • UT code for WoS article

    000382272800006

  • EID of the result in the Scopus database

    2-s2.0-84978807296