The Navier - Stokes Equations with Navier's Boundary Condition around Moving Bodies in Presence of Collisions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F09%3A00156767" target="_blank" >RIV/68407700:21220/09:00156767 - 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

The Navier - Stokes Equations with Navier's Boundary Condition around Moving Bodies in Presence of Collisions

Original language description

In this note, we treat the Navier-Stokes equation with slip Navier's boundary condition in a time variable domain around a finite system of compact bodies moving in a container. The motion of the bodies is assumed to be a priori known. The bodies may collide at a finite number of time instants. We present the theorem on the global in time existence of a weak solution. It is remarkable that Navier's boundary condition enables us to consider a larger class of possible collisions of bodies with C^2 front surfaces in comparison with the no-slip Dirichlet condition.

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%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>

Continuities

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

Comptes Rendus Mathematique

ISSN

1631-073X

e-ISSN

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Volume of the periodical

347

Issue of the periodical within the volume

11-12

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

6

Pages from-to

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UT code for WoS article

000266534100022

EID of the result in the Scopus database

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