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On compactness of the velocity field in the incompressible limit of the full Navier-Stokes-Fourier system on large domains

Result description

The incompressible limit for the full Navier-Stokes-Fourier system is studied on a family of domains containing balls of the radius growing with a speed that dominates the inverse of the Mach number. It is shown that the velocity field converges stronglyto its limit locally in space, in particular, the effect of the sound waves is eliminated by means of the local decay estimates for the acoustic wave equation.

Keywords

low Mach number limitNavier-Stokes-Fourier systemlarge domain

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    On compactness of the velocity field in the incompressible limit of the full Navier-Stokes-Fourier system on large domains

  • Original language description

    The incompressible limit for the full Navier-Stokes-Fourier system is studied on a family of domains containing balls of the radius growing with a speed that dominates the inverse of the Mach number. It is shown that the velocity field converges stronglyto its limit locally in space, in particular, the effect of the sound waves is eliminated by means of the local decay estimates for the acoustic wave equation.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematical Methods in the Applied Sciences

  • ISSN

    0170-4214

  • e-ISSN

  • Volume of the periodical

    32

  • Issue of the periodical within the volume

    10

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    18

  • Pages from-to

  • UT code for WoS article

    000267271300004

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2009