A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies

0349602 - MÚ 2011 RIV US eng J - Journal Article
Deuring, P. - Kračmar, S. - Nečasová, Šárka
A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies.
Discrete and Continuous Dynamical systems - Series S. Roč. 3, č. 2 (2010), s. 237-254. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : viscous incompressible fluids * rotating body * fundamental solution
Subject RIV: BA - General Mathematics
http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5050

A Green's formula is proved for solutions of a linearized system describing the stationary flow of a viscous incompressible fluid around a rigid body which is rotating and translating. The formula in question is based on the fundamental solution obtained by integrating the time variable in the fundamental solution of the corresponding evolutionary problem.
Permanent Link: http://hdl.handle.net/11104/0189796