On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies

0359868 - MÚ 2012 RIV US eng J - Journal Article
Deuring, P. - Kračmar, S. - Nečasová, Šárka
On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies.
SIAM Journal on Mathematical Analysis. Roč. 43, č. 2 (2011), s. 705-738. ISSN 0036-1410. E-ISSN 1095-7154
R&D Projects: GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : viscous incompressible flow * rotating body * fundamental solution * decay * Navier-Stokes system
Subject RIV: BA - General Mathematics
Impact factor: 1.316, year: 2011
http://epubs.siam.org/action/showAbstract?page=705&volume=43&issue=2&journalCode=sjmaah

We consider a system arising by linearization of a model for stationary viscous incompressible flow past a rotating and translating rigid body. Using a fundamental solution proposed by Guenther and Thomann, we derive a representation formula for the velocity field. This formula is then used to obtain pointwise decay estimates and to identify a leading term with respect to this decay. In addition, we prove a representation theorem for weak solutions of the stationary Navier-Stokes system with Oseen and rotational terms.
Permanent Link: http://hdl.handle.net/11104/0197565