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Description
| - We present a regularity criterion for the solutions to the Navier-Stokes equations based on the gradient of one velocity component. Starting with the method developed in cite{CaTi} for the case of one entry of the velocity gradient and using further some inequalities concerning the anisotropic Sobolev spaces, we show as a main result that a weak solution $u$ is regular on $(0,T)$, $T>0$, provided that $nabla u_3 in L^t(0,T;L^s)$, where $2/t+3/s = 3/2+3/(4s)$ and $s in (3/2,2)$. It improves the known results for $s in (3/2,15/8)$.
- We present a regularity criterion for the solutions to the Navier-Stokes equations based on the gradient of one velocity component. Starting with the method developed in cite{CaTi} for the case of one entry of the velocity gradient and using further some inequalities concerning the anisotropic Sobolev spaces, we show as a main result that a weak solution $u$ is regular on $(0,T)$, $T>0$, provided that $nabla u_3 in L^t(0,T;L^s)$, where $2/t+3/s = 3/2+3/(4s)$ and $s in (3/2,2)$. It improves the known results for $s in (3/2,15/8)$. (en)
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Title
| - A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
- A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component (en)
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skos:prefLabel
| - A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component
- A note on the regularity of the solutions to the Navier-Stokes equations via the gradient of one velocity component (en)
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skos:notation
| - RIV/68407700:21110/14:00227615!RIV15-MSM-21110___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/68407700:21110/14:00227615
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Navier-Stokes equations; regularity criteria (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Journal of Mathematical Physics
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
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http://localhost/t...ganizacniJednotka
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