New Conditions for Local Regularity of a Suitable Weak Solution to the Navier - Stokes Equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F02%3A02077539" target="_blank" >RIV/68407700:21220/02:02077539 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

New Conditions for Local Regularity of a Suitable Weak Solution to the Navier - Stokes Equation

Original language description

We formulate conditions which guarantee that a suitable weak solution (v,p) to the Navier-Stokes equation (in the sense of L. Caffarelli, R. Kohn and L. Nirenberg [2]) cannot have a singularity at the point (x0, t0). The usual Prodi-Serrin condition on velocity v is substantially replaced by an analogous condition imposed on the negative part p_ of pressure p.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F99%2F0267" target="_blank" >GA201/99/0267: Qualitative theory and numerical analysis of problems in fluid dynamics</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Mathematical Fluid Mechanics

ISSN

1422-6928

e-ISSN

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Volume of the periodical

4

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

20

Pages from-to

237-256

UT code for WoS article

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EID of the result in the Scopus database

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