The application of anisotropic Troisi inequalities to the conditional regularity for the Navier-Stokes equations
Result description
We derive various anisotropic versions of the Troisi inequality for the study of the conditional regularity of solutions to the Navier-Stokes equations. We impose additional conditions on one or two non-diagonal entries of the velocity gradient, namely partial derivative(1)u(3) or partial derivative(1)u(3) and partial derivative(2)u(3). Formulating our results in the frame of the anisotropic Lebesgue spaces we improve two recent results from the literature. Further we present two new criteria.
Keywords
Navier-Stokes equationsregularity criteriaanisotropic Lebesgue spacesanisotropic versions of the Troisi inequality
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
The application of anisotropic Troisi inequalities to the conditional regularity for the Navier-Stokes equations
Original language description
We derive various anisotropic versions of the Troisi inequality for the study of the conditional regularity of solutions to the Navier-Stokes equations. We impose additional conditions on one or two non-diagonal entries of the velocity gradient, namely partial derivative(1)u(3) or partial derivative(1)u(3) and partial derivative(2)u(3). Formulating our results in the frame of the anisotropic Lebesgue spaces we improve two recent results from the literature. Further we present two new criteria.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
GA17-01747S: Theory and numerical analysis of coupled problems in fluid dynamics
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
Nonlinearity
ISSN
0951-7715
e-ISSN
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Volume of the periodical
31
Issue of the periodical within the volume
8
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
3707-3725
UT code for WoS article
000437242800003
EID of the result in the Scopus database
2-s2.0-85051370265
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2018