Počet záznamů: 1
Convergence of the Neumann series in BEM for the Neumann problem of the stokes system
- 1.
SYSNO ASEP 0367466 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Convergence of the Neumann series in BEM for the Neumann problem of the stokes system Tvůrce(i) Medková, Dagmar (MU-W) RID, SAI, ORCID Zdroj.dok. Acta Applicandae Mathematicae - ISSN 0167-8019
Roč. 116, č. 3 (2011), s. 281-304Poč.str. 24 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova stokes system ; Neumann problem ; integral equation method Vědní obor RIV BA - Obecná matematika CEP IAA100190804 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000300084300004 EID SCOPUS 84855316570 DOI 10.1007/s10440-011-9643-5 Anotace A weak solution of the Neumann problem for the Stokes system in Sobolev space is studied in a bounded Lipschitz domain with connected boundary. A solution is looked for in the form of a hydrodynamical single layer potential. It leads to an integral equation on the boundary of the domain. Necessary and sufficient conditions for the solvability of the problem are given. Moreover, it is shown that we can obtain a solution of this integral equation using the successive approximation method. Then the consequences for the direct boundary integral equation method are treated. A solution of the Neumann problem for the Stokes system is the sum of the hydrodynamical single layer potential corresponding to the boundary condition and the hydrodynamical double layer potential corresponding to the trace of the velocity part of the solution. Using boundary behavior of potentials we get an integral equation on the boundary of the domain where the trace of the velocity part of the solution is unknown. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
Počet záznamů: 1