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A Linearized System Describing Stationary Incompressible Viscous Flow around Rotating and Translating Bodies: Improved Decay Estimates of Velocity and its Gradient

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F11%3A00190946" target="_blank" >RIV/68407700:21220/11:00190946 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.aimsciences.org" target="_blank" >http://www.aimsciences.org</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Linearized System Describing Stationary Incompressible Viscous Flow around Rotating and Translating Bodies: Improved Decay Estimates of Velocity and its Gradient

  • Original language description

    The authors consider a model of steady viscous incompressible flow past a translating rotating rigid body. They use a linearization of a general model and the fundamental solutions proposed in [E. A. Thomann and R. B. Guenther, J. Math. Fluid Mech. 8 (2006), no. 1, 77-98, to obtain a representation for the velocity field, which is then used to obtain some pointwise decay estimates and to identify a leading term with respect to this decay. Also, the authors obtain a representation theorem for weak solutions of stationary Navier-Stokes systems with Oseen rotational terms. Improved decay estimates of velocity and its gradient were derived.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA100190804" target="_blank" >IAA100190804: The motion of rigid bodies in liquid: mathematical analysis, numerical simulation and related problems</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Dynamical Systems and Differential Equations, DCDS Supplement 2011

  • ISBN

    978-1-60133-007-9

  • ISSN

    1078-0947

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    351-361

  • Publisher name

    American Institute Mathematical Sciences

  • Place of publication

    Springfield

  • Event location

    Dresden

  • Event date

    May 25, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article