On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00333022" target="_blank" >RIV/67985840:_____/09:00333022 - 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

On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics

Original language description

We prove a theorem on stability of a strong solution of the Navier-Stokes equations with respect to perturbation of the initial velocity in the norm of A^{1/4} (where A is the Stokes operator) and also with respect to certain perturbations of the actingbody force. The theorem is applied to obtain new results on the dynamics of solutions of the Navier-Stokes equations.

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/IAA100190905" target="_blank" >IAA100190905: Dynamical properties of the Navier-Stokes and related equations</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

2009

Confidentiality

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

Name of the periodical

Nonlinear Analysis: Theory, Methods & Applications

ISSN

0362-546X

e-ISSN

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Volume of the periodical

71

Issue of the periodical within the volume

12

Country of publishing house

GB - UNITED KINGDOM

Number of pages

6

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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