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On the result of He concerning the smoothness of solutions to the Navier-Stokes equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F03%3A00002062" target="_blank" >RIV/00216208:11320/03:00002062 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the result of He concerning the smoothness of solutions to the Navier-Stokes equations

  • Original language description

    We improve the regularity criterion for the Navier-Stokes equations proved by He. We show that for the Cauchy problem the Leray-Hopf solution is smooth provided $nabla u in L^t(0,T;L^s)$, $frac 2t + frac 3s leq frac 32$.

  • 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/GA201%2F00%2F0768" target="_blank" >GA201/00/0768: Advanced mathematical approaches to non-linear continuum mechanisms</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2003

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Electronic Journal of Differential Equations

  • ISSN

    1072-6691

  • e-ISSN

  • Volume of the periodical

    2003

  • Issue of the periodical within the volume

    11

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    8

  • Pages from-to

    1-8

  • UT code for WoS article

  • EID of the result in the Scopus database