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ON HAUSDORFF DIMENSION OF BLOW-UP TIMES RELEVANT TO WEAK SOLUTION OF GENERALIZED NAVIER-STOKES FLUIDS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10103555" target="_blank" >RIV/00216208:11320/11:10103555 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    ON HAUSDORFF DIMENSION OF BLOW-UP TIMES RELEVANT TO WEAK SOLUTION OF GENERALIZED NAVIER-STOKES FLUIDS

  • Original language description

    We study qualitative properties of spatially periodic weak solutions to generalized Navier-Stokes fluids (of power-law type), which are known to exist for large data and arbitrary time intervals, in the case where the weak solution itself is not an admissible test function. We focus on establishing the upper estimates on the Hausdorff dimension of the possible times at which the L2-norm of the velocity gradient can blow up.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • 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

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>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

  • Book/collection name

    Mathematical Analysis on the Navier-Stokes Equations and Related Topics, Past and Future

  • ISBN

    978-4-7625-0460-0

  • Number of pages of the result

    13

  • Pages from-to

    116-129

  • Number of pages of the book

    241

  • Publisher name

    Gakkotosho Co. Ltd.

  • Place of publication

    Toky, Japonsko

  • UT code for WoS chapter