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A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation
- 1.0468916 - MÚ 2017 RIV US eng J - Journal Article
Deuring, P. - Kračmar, Stanislav - Nečasová, Šárka
A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation.
Discrete and Continuous Dynamical Systems. Roč. 37, č. 3 (2017), s. 1389-1409. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : asymptotic expansion * exterior domain * fundamental solution * Navier-Stokes system
OECD category: Pure mathematics
Impact factor: 1.126, year: 2017
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13507
We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary ow of a viscous incompressible uid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a previous paper, we proved a representation formula for Leray solutions of this system. Here the representation formula is used as starting point for splitting the velocity into a leading term and a remainder, and for establishing pointwise decay estimates of the remainder and its gradient.
Permanent Link: http://hdl.handle.net/11104/0266725
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