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On pointwise decay of linearized stationary incompressible viscous flow around rotating and translating bodies
- 1.0359868 - MÚ 2012 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100190804
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: viscous incompressible flow * rotating body * fundamental solution * decay * Navier-Stokes system
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.316, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0197565
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