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On the asymptotic decay of higher-order norms of the 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_____%2F10%3A00343675" target="_blank" >RIV/67985874:_____/10:00343675 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3

  • Original language description

    In this paper we study the large-time behavior of global weak solutions of the Navier-Stokes equations in the whole space satisfying the strong energy inequality. We especially show that any space derivative of the solution measured in L2-norm decreaseswith time going to infinity quickly than the L2-norm of the solution itself.

  • 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/IAA100190905" target="_blank" >IAA100190905: Dynamical properties of the Navier-Stokes and related equations</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

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Discrete and Continuous Dynamical systems

  • ISSN

    1937-1632

  • e-ISSN

  • Volume of the periodical

    3

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    10

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database