Solutions of the Navier-Stokes equations with various types of boundary conditions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00193133" target="_blank" >RIV/68407700:21110/12:00193133 - isvavai.cz</a>

Result on the web

<a href="http://www.springerlink.com/content/m053485p8380328v/" target="_blank" >http://www.springerlink.com/content/m053485p8380328v/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00013-012-0387-x" target="_blank" >10.1007/s00013-012-0387-x</a>

Result language

angličtina

Original language name

Solutions of the Navier-Stokes equations with various types of boundary conditions

Original language description

In this paper we consider the initial boundary value problem of the Navier-Stokes system with various types of boundary conditions. We study the global-in-time existence and uniqueness of a solution of this system. In particular, suppose that the problemis solvable with some given data (the initial velocity and the external body force). We prove that there exists a unique solution for data which are small perturbations of the previous ones.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

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

Name of the periodical

Archiv der Mathematik

ISSN

0003-889X

e-ISSN

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Volume of the periodical

98

Issue of the periodical within the volume

5

Country of publishing house

CH - SWITZERLAND

Number of pages

11

Pages from-to

487-497

UT code for WoS article

000304168100012

EID of the result in the Scopus database

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