Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity

0395491 - MÚ 2014 RIV US eng J - Journal Article
Deuring, P. - Kračmar, S. - Nečasová, Šárka
Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity.
Journal of Differential Equations. Roč. 255, č. 7 (2013), s. 1576-1606. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR(CZ) GAP201/11/1304
Institutional support: RVO:67985840
Keywords : stationary incompressible Navier-Stokes system * rotating body * fundamental solution
Subject RIV: BA - General Mathematics
Impact factor: 1.570, year: 2013
http://www.sciencedirect.com/science/article/pii/S0022039613002106

We consider a stationary viscous incompressible flow around a translating and rotating body. Optimal rates of decay are derived for the velocity and its gradient, on the basis of a representation formula involving a fundamental solution constructed by R.B. Guenther and E.A. Thomann [The fundamental solution of the linearized Navier-Stokes equations for spinning bodies in three spatial dimensions - time dependent case, J. Math. Fluid Mech. 8 (2006) 77-98], for a linearized system.
Permanent Link: http://hdl.handle.net/11104/0223519