Regularity criteria for the Navier–Stokes equations based on one component of velocity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F17%3A00468633" target="_blank" >RIV/67985874:_____/17:00468633 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/17:43931641
Result on the web
<a href="http://dx.doi.org/10.1016/j.nonrwa.2016.11.005" target="_blank" >http://dx.doi.org/10.1016/j.nonrwa.2016.11.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2016.11.005" target="_blank" >10.1016/j.nonrwa.2016.11.005</a>

Result language
angličtina
Original language name
Regularity criteria for the Navier–Stokes equations based on one component of velocity
Original language description
We study the regularity criteria for the incompressible Navier–Stokes equations in the whole space R3R3 based on one velocity component, namely u3u3, ∇u3∇u3 and ∇2u3∇2u3. We use a generalization of the Troisi inequality and anisotropic Lebesgue spaces and prove, for example, that the condition ∇u3∈Lβ(0,TLp)∇u3∈Lβ(0,TLp), where 2/β+3/p=7/4+1/(2p)2/β+3/p=7/4+1/(2p) and p∈(2,∞]p∈(2,∞], yields the regularity of uu on (0,T](0,T].
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)

Project
<a href="/en/project/GA14-02067S" target="_blank" >GA14-02067S: Advanced methods for flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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