About: On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
Description
  • We improve a regularity criterion for the solutions to the Navier-Stokes equations in the full three-dimensional space involving the gradient of one velocity component. Revising the method used in cite{PoZh} and cite{PoZh2}, we show that a weak solution $u$ is regular on $(0,T)$ provided that $nabla u_3 in L^t(0,T;L^s)$, where $2/t+3/s = 19/10$ for $s in [30/19,10/3]$ and $2/t+3/s = 7/4+1/(2s)$ for $s in [10/3,infty]$. It improves the known results for $s in [30/19,150/77)$ and $s in (10/3,infty]$
  • We improve a regularity criterion for the solutions to the Navier-Stokes equations in the full three-dimensional space involving the gradient of one velocity component. Revising the method used in cite{PoZh} and cite{PoZh2}, we show that a weak solution $u$ is regular on $(0,T)$ provided that $nabla u_3 in L^t(0,T;L^s)$, where $2/t+3/s = 19/10$ for $s in [30/19,10/3]$ and $2/t+3/s = 7/4+1/(2s)$ for $s in [10/3,infty]$. It improves the known results for $s in [30/19,150/77)$ and $s in (10/3,infty]$ (en)
Title
  • On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
  • On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component (en)
skos:prefLabel
  • On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
  • On the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component (en)
skos:notation
  • RIV/68407700:21110/14:00227613!RIV15-MSM-21110___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I
http://linked.open...iv/cisloPeriodika
  • červenec
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 34503
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21110/14:00227613
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Navier-Stokes equations; regularity criteria (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [049C593407BD]
http://linked.open...i/riv/nazevZdroje
  • Nonlinear Analysis: Theory, Methods & Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 104
http://linked.open...iv/tvurceVysledku
  • Skalák, Zdeněk
http://linked.open...ain/vavai/riv/wos
  • 000335009200007
issn
  • 0362-546X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.na.2014.03.018
http://localhost/t...ganizacniJednotka
  • 21110
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 117 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software