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Asymptotic energy and enstrophy concentration in solutions to the Navier?Stokes equations in R3

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F09%3A00341388" target="_blank" >RIV/67985874:_____/09:00341388 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Asymptotic energy and enstrophy concentration in solutions to the Navier?Stokes equations in R3

  • Original language description

    We show as the main result of the paper that the energy of every nonzero global weak solution to the Navier-Stokes equations satisfying the strong energy inequality concentrates asymptotically in frequencies smaller than or equal to a precisely defined nonnegative number. We obtain an explicit convergence rate of the concentration and similar results for the enstrophy of the solution.

  • 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

    <a href="/en/project/IAA200600801" target="_blank" >IAA200600801: Decomposition techniques for flow-field analysis</a><br>

  • 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

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Annali dell´Universitá di Ferrara

  • ISSN

    0430-3202

  • e-ISSN

  • Volume of the periodical

    55

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    18

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database