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.
CITATION STYLE
Galdi, G. P., & Kyed, M. (2011). Asymptotic behavior of a Leray solution around a rotating obstacle. In Progress in Nonlinear Differential Equations and Their Application (Vol. 80, pp. 251–266). Springer US. https://doi.org/10.1007/978-3-0348-0075-4_13
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