The Neumann problem for the planar Stokes system

Result code in IS VaVaI

RIV/67985840:_____/12:00383609 - isvavai.cz

Result on the web

http://dx.doi.org/10.1007/s11565-012-0154-8

DOI - Digital Object Identifier

10.1007/s11565-012-0154-8

Result language

angličtina

Original language name

The Neumann problem for the planar Stokes system

Original language description

The Neumann problem for the Stokes system is studied on bounded and unbounded domains with Ljapunov boundary in the plane. We construct a solution of this problem in the form of appropriate potentials and reduce the problem to an integral equation systems on the boundary of the domain. We determine a necessary and sufficient condition for the solvability of the problem. Then we study the direct integral equation method and prove that a solution of the corresponding integral equation can be obtained by the successive approximation.

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

GAP201/11/1304: Flow of fluids in domains with variable geometry

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

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

Name of the periodical

Annali dell´Universitá di Ferrara

ISSN

0430-3202

e-ISSN

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Volume of the periodical

58

Issue of the periodical within the volume

2

Country of publishing house

FR - FRANCE

Number of pages

23

Pages from-to

307-329

UT code for WoS article

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EID of the result in the Scopus database

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