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Integral equations method and the transmission problem for the Stokes system
- 1.0445821 - MÚ 2016 RIV RS eng J - Journal Article
Medková, Dagmar
Integral equations method and the transmission problem for the Stokes system.
Kragujevac Journal of Mathematics. Roč. 39, č. 1 (2015), s. 53-71. ISSN 1450-9628. E-ISSN 1450-9628
R&D Projects: GA ČR(CZ) GAP201/11/1304
Institutional support: RVO:67985840
Keywords : transmission problem * Stokes system * integral equation method
Subject RIV: BA - General Mathematics
https://imi.pmf.kg.ac.rs/kjm/pub/kjom391/kjom391-6.pdf
The transmission problem for the Stokes system is studied. Using the integral equation method we study the problem in homogeneous Sobolev spaces, in Besov spaces and $L^q$-solutions of the problem. We show the unique solvability of the problem. Moreover, we solve the corresponding boundary integral equations by the successive approximation method.
Permanent Link: http://hdl.handle.net/11104/0247877
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