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A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00349654" target="_blank" >RIV/67985840:_____/10:00349654 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions

  • Original language description

    We prove the existence of a partially strong solution to the steady Navier-Stokes equations for barotropic compressible fluid in a bounded simply connected domain with the prescribed generalized impermeability conditions u.n=0, curl u.n=0 and curl curl u.n=0 on the boundary. We assume that the state law for the pressure has the form P(rho)=rho^{gamma} for gamma>3. We call the solution "partially strong" because only the divergence - free part of velocity and the effective pressure have regularity typical for strong solutions, while the gradient part of velocity and the density have regularity typical for 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%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Nonlinearity

  • ISSN

    0951-7715

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    20

  • Pages from-to

  • UT code for WoS article

    000284379300005

  • EID of the result in the Scopus database