Integral equation method for the first and second problems of the Stokes system

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00398062" target="_blank" >RIV/67985840:_____/13:00398062 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11118-013-9336-y" target="_blank" >http://dx.doi.org/10.1007/s11118-013-9336-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11118-013-9336-y" target="_blank" >10.1007/s11118-013-9336-y</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Integral equation method for the first and second problems of the Stokes system

Popis výsledku v původním jazyce

Using the integral equation method we study solutions of boundary value problems for the Stokes system in Sobolev space in a bounded Lipschitz domain with connected boundary. A solution of the second problem is studied both by the indirect and the directboundary integral equation method. It is shown that we can obtain a solution of the corresponding integral equation using the successive approximation method. Then we study the first problem for the Stokes system by the direct integral equation method.But the corresponding integral equation is not uniquely solvable. We construct another uniquely solvable integral equation such that the solution of the new eqution is a solution of the original integral equation provided the first problem has a solution. Moreover, the new integral equation has a form g+Sg=f, where S is a contractive operator and we can solve it by the successive approximation.

Název v anglickém jazyce

Integral equation method for the first and second problems of the Stokes system

Popis výsledku anglicky

Using the integral equation method we study solutions of boundary value problems for the Stokes system in Sobolev space in a bounded Lipschitz domain with connected boundary. A solution of the second problem is studied both by the indirect and the directboundary integral equation method. It is shown that we can obtain a solution of the corresponding integral equation using the successive approximation method. Then we study the first problem for the Stokes system by the direct integral equation method.But the corresponding integral equation is not uniquely solvable. We construct another uniquely solvable integral equation such that the solution of the new eqution is a solution of the original integral equation provided the first problem has a solution. Moreover, the new integral equation has a form g+Sg=f, where S is a contractive operator and we can solve it by the successive approximation.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP201%2F11%2F1304" target="_blank" >GAP201/11/1304: Proudění tekutin v oblastech s měnící se geometrií</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Potential Analysis

ISSN

0926-2601

e-ISSN

—

Svazek periodika

39

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

389-409

Kód UT WoS článku

000325632800006

EID výsledku v databázi Scopus

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