Concentration-diffusion phenomena of heat convection in an incompressible fluid

Reinhard Farwig, Raphael Schulz, Masao Yamazaki

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We study in the whole space Rn the behaviour of solutions to the Boussinesq equations at large distances. Therefore, we investigate the solvability of these equations in weighted L-spaces and determine the asymptotic profile for sufficiently fast decaying initial data. For n=2,3 we are able to construct initial data such that the velocity exhibits an interesting concentration-diffusion phenomenon.

    Original languageEnglish
    Pages (from-to)17-41
    Number of pages25
    JournalAsymptotic Analysis
    Volume88
    Issue number1-2
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Incompressible Fluid
    Convection
    Heat
    Asymptotic Profile
    Boussinesq Equations
    L-space
    Behavior of Solutions
    Solvability

    Keywords

    • concentration-diffusion
    • instationary Boussinesq equations
    • mild and strong solutions
    • rate of decay in space
    • weighted spaces

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Concentration-diffusion phenomena of heat convection in an incompressible fluid. / Farwig, Reinhard; Schulz, Raphael; Yamazaki, Masao.

    In: Asymptotic Analysis, Vol. 88, No. 1-2, 2014, p. 17-41.

    Research output: Contribution to journalArticle

    Farwig, Reinhard ; Schulz, Raphael ; Yamazaki, Masao. / Concentration-diffusion phenomena of heat convection in an incompressible fluid. In: Asymptotic Analysis. 2014 ; Vol. 88, No. 1-2. pp. 17-41.
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