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Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F18%3A00480807" target="_blank" >RIV/67985874:_____/18:00480807 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21110/18:00321862

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jmaa.2017.09.029" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2017.09.029</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2017.09.029" target="_blank" >10.1016/j.jmaa.2017.09.029</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components

  • Original language description

    We prove, among others, the following regularity criterion for the solutions to the Navier Stokes equations: If u is a global weak solution satisfying the energy inequality and omega = del x u, then u is regular on (0, T), T > 0, if two components of w belong to the space L-q (0, T, B-infinity infinity(-3/p)) for p is an element of (3, infinity) and 2/q + 3/p = 2. This result is an improvement of the results presented by Chae and Choe (1999) [7] or Zhang and Chen (2005) [38]. Our method of the proof uses a suitable application of the Bony decomposition and can also be used for the proofs of some other kin criteria. Otte such example is presented in Appendix. (C) 2017 Elsevier Inc. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10305 - Fluids and plasma physics (including surface physics)

Result continuities

  • Project

    <a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    458

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    755-766

  • UT code for WoS article

    000413388800044

  • EID of the result in the Scopus database

    2-s2.0-85032152315