Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985874%3A_____%2F10%3A00353112" target="_blank" >RIV/67985874:_____/10:00353112 - 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

Some aspects of the asymptotic dynamics of solutions of the homogeneous Navier-Stokes equations in general domains

Original language description

In the first part of the paper we study decays of solutions of the Navier-Stokes equations on short time intervals. We show as the main result that solutions satisfying the strong energy inequality do not exhibit large decays if they are measured in theenergetic L^2 norm. In the second part of the paper we characterize approximately the subspace of the phase space through which the trajectory of the solution moves. As a consequence of the presented results we get that the energy of solution cannot decay more quickly than exponentially.

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/IAA200600801" target="_blank" >IAA200600801: Decomposition techniques for flow-field analysis</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

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

12

Issue of the periodical within the volume

4

Country of publishing house

CH - SWITZERLAND

Number of pages

33

Pages from-to

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UT code for WoS article

000285929600003

EID of the result in the Scopus database

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