Integral representation of a solution of the Neumann problem for the Stokes system

0345655 - MÚ 2011 RIV NL eng J - Journal Article
Medková, Dagmar
Integral representation of a solution of the Neumann problem for the Stokes system.
Numerical Algorithms. Roč. 54, č. 4 (2010), s. 459-484. ISSN 1017-1398. E-ISSN 1572-9265
R&D Projects: GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : Stokes system * Neumann problem * single layer potential * double layer potential * integral equation method * successive approximation
Subject RIV: BA - General Mathematics
Impact factor: 0.784, year: 2010
http://link.springer.com/article/10.1007%2Fs11075-009-9346-4

A classical solution of the Neumann problem for the Stokes system is studied on bounded and exterior domains with Ljapunov boundary. A solution of this problem is constructed in the form of appropriate potentials. A solution of the corresponding integral equation is given explicitly in the form of a series.
Permanent Link: http://hdl.handle.net/11104/0186870