TY - CHAP

T1 - Asymptotic behavior of a Leray solution around a rotating obstacle

AU - Galdi, Giovanni P.

AU - Kyed, Mads

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Asymptotic behavior

KW - Navier-Stokes equations

KW - Rotating body

UR - http://www.scopus.com/inward/record.url?scp=85007022462&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85007022462&partnerID=8YFLogxK

U2 - 10.1007/978-3-0348-0075-4_13

DO - 10.1007/978-3-0348-0075-4_13

M3 - Chapter

AN - SCOPUS:85007022462

T3 - Progress in Nonlinear Differential Equations and Their Application

SP - 251

EP - 266

BT - Progress in Nonlinear Differential Equations and Their Application

PB - Springer US

ER -