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Weighted L2 and Lq Approaches to Fluid Flow Past a Rotating Body

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F09%3A00160970" target="_blank" >RIV/68407700:21220/09:00160970 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985840:_____/09:00329984

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weighted L2 and Lq Approaches to Fluid Flow Past a Rotating Body

  • Original language description

    Consider the flow of a viscous, incompressible fluid past a rotating obstacle with velocity at infinity parallel to the axis of rotation. After a coordinate transform in order to reduce the problem to a Navier-Stokes system on a fixed exterior domain anda subsequent linearization we are led to a modified Oseen system with two additional terms one of which is not subordinate to the Laplacean. In this paper we describe two different approaches to this problem in the whole space case. One of them is basedon a variational method in L^2 -spaces with weights reflecting the anisotropic behaviour of the Oseen fundamental solution. The other approach uses weighted multiplier theory, interpolation and Littlewood-Paley theory to get a priori estimates in anisotropically weighted L^q -spaces.

  • 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

    Z - Vyzkumny zamer (s odkazem do CEZ)

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

    Banach Center Publication

  • ISSN

    0137-6934

  • e-ISSN

  • Volume of the periodical

    -

  • Issue of the periodical within the volume

    86

  • Country of publishing house

    PL - POLAND

  • Number of pages

    39

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database