About: On the regularity to the solutions of the Navier--Stokes equations via one velocity component

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: On the regularity to the solutions of the Navier--Stokes equations via 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)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider the regularity criteria for the incompressible Navier--Stokes equations connected with one velocity component. Based on the method from \cite{CaTi} we prove that the weak solution is regular, provided $ u_3 \in L^t(0,T; L^s(\R^3))$, $\frac 2t +\frac 3s \leq \frac 34 + \frac{1}{2s}$, $s} \frac {10}{3} $ or provided $ \nabla u_3 \in L^t(0,T; L^s(\R^3))$, $\frac 2t +\frac 3s \leq \frac{19}{12} + \frac 1{2s}$ if $s\in (\frac{30}{19},3]$ or $\frac 2t + \frac 3s \leq \frac 32 + \frac{3}{4s}$ if $s \in (3,\infty]$. As a corollary, we also improve the regularity criteria expressed by the regularity of $\pder{p}{x_3}$ or $\pder{u_3}{x_3}$. We consider the regularity criteria for the incompressible Navier--Stokes equations connected with one velocity component. Based on the method from \cite{CaTi} we prove that the weak solution is regular, provided $ u_3 \in L^t(0,T; L^s(\R^3))$, $\frac 2t +\frac 3s \leq \frac 34 + \frac{1}{2s}$, $s} \frac {10}{3} $ or provided $ \nabla u_3 \in L^t(0,T; L^s(\R^3))$, $\frac 2t +\frac 3s \leq \frac{19}{12} + \frac 1{2s}$ if $s\in (\frac{30}{19},3]$ or $\frac 2t + \frac 3s \leq \frac 32 + \frac{3}{4s}$ if $s \in (3,\infty]$. As a corollary, we also improve the regularity criteria expressed by the regularity of $\pder{p}{x_3}$ or $\pder{u_3}{x_3}$. (en)
Title	On the regularity to the solutions of the Navier--Stokes equations via one velocity component On the regularity to the solutions of the Navier--Stokes equations via one velocity component (en)
skos:prefLabel	On the regularity to the solutions of the Navier--Stokes equations via one velocity component On the regularity to the solutions of the Navier--Stokes equations via one velocity component (en)
skos:notation	RIV/00216208:11320/10:10051956!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/08/0315), P(LC06052), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Pokorný, Milan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	276908
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10051956
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	one velocity component; regularity of solutions; Navier-Stokes equations (en)
http://linked.open.../riv/klicoveSlovo	Navier-Stokes equations regularity of solutions one velocity component
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[F90E33C20DB5]
http://linked.open...i/riv/nazevZdroje	Nonlinearity
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	The Nečas Center for Mathematical Modeling Mathematical analysis of complex systems in fluid mechanics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	23
http://linked.open...iv/tvurceVysledku	Pokorný, Milan Zhou, Yong
http://linked.open...ain/vavai/riv/wos	000276728100004
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0951-7715
number of pages	11 (xsd:int)
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	On the regularity to the solutions of the Navier--Stokes equations via one velocity component On the regularity to the solutions of the Navier--Stokes equations via one velocity component On the regularity to the solutions of the Navier--Stokes equations via one velocity component

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

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, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software