Integral equations method and the transmission problem for the Stokes system

0445821 - MÚ 2016 RIV RS eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GAP201/11/1304
Institucionální podpora: RVO:67985840
Klíčová slova: transmission problem * Stokes system * integral equation method
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0247877