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Inviscid incompressible limits on expanding domains

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00431605" target="_blank" >RIV/67985840:_____/14:00431605 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1088/0951-7715/27/10/2465" target="_blank" >http://dx.doi.org/10.1088/0951-7715/27/10/2465</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/0951-7715/27/10/2465" target="_blank" >10.1088/0951-7715/27/10/2465</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Inviscid incompressible limits on expanding domains

  • Original language description

    We consider the inviscid incompressible limit of the compressible Navier-Stokes system on a large domain, the radius of which becomes infinite in the asymptotic limit. We show that the limit solutions satisfy the incompressible Euler system on the wholephysical space R3 as long as the radius of the domain is larger than the speed of acoustic waves inversely proportional to the Mach number. The rate of convergence is estimated in terms of the Mach and Reynolds numbers and the radius of the family of spatial domains.

  • 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/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • 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

    27

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

    2465-2477

  • UT code for WoS article

    000342751000003

  • EID of the result in the Scopus database