@inbook{1c26be30ad244f30905dcebe9db43ef9,

title = "Asymptotic behavior of a Leray solution around a rotating obstacle",

abstract = "We consider a body, B, that rotates, without translating, in a Navier-Stokes liquid that fills the whole space exterior to B. We analyze asymptotic properties of steady-state motions, that is, time-independent solutions to the equation of motion written in a frame attached to the body. We prove that “weak” steady-state solutions in the sense of J. Leray that satisfy the energy inequality are Physically Reasonable in the sense of R. Finn, provided the “size” of the data is suitably restricted.",

keywords = "Asymptotic behavior, Navier-Stokes equations, Rotating body",

author = "Galdi, {Giovanni P.} and Mads Kyed",

note = "Funding Information: Most of this work was done while G.P. Galdi was a guest of the Institute of Mathematics of the RWTH-Aachen with a DFG Mercator Professorship. He would like to thank Professor Josef Bemelmans for his kind invitation and warmest hospitality. His work was also partially supported by NSF Grant DMS-0707281. Last but not least, both authors would like to thank Professor Bemelmans for very helpful conversations. Publisher Copyright: {\textcopyright} 2011, Springer Basel AG.",

year = "2011",

doi = "10.1007/978-3-0348-0075-4_13",

language = "English",

series = "Progress in Nonlinear Differential Equations and Their Application",

publisher = "Springer US",

pages = "251--266",

booktitle = "Progress in Nonlinear Differential Equations and Their Application",

}