TY - JOUR
T1 - Steady-State Navier-Stokes Flows Past a Rotating Body
T2 - Leray Solutions are Physically Reasonable
AU - Galdi, Giovanni P.
AU - Kyed, Mads
PY - 2011/4
Y1 - 2011/4
N2 - A rigid body, B moves in a Navier-Stokes liquid,L, filling the whole space outside B We assume that, when referred to a frame attached to B, the nonzero velocity of the center of mass, ξ, and the angular velocity, ω, of are constant and that the flow of L is steady. Our main theorem implies that every "weak" steady-state solution in the sense of Leray is, in fact, physically reasonable in the sense of Finn, for data of arbitrary "size". Such a theorem improves and generalizes an analogous famous result of Babenko (Math USSR Sb 20:1-25, 1973), obtained in the case ω = 0.
AB - A rigid body, B moves in a Navier-Stokes liquid,L, filling the whole space outside B We assume that, when referred to a frame attached to B, the nonzero velocity of the center of mass, ξ, and the angular velocity, ω, of are constant and that the flow of L is steady. Our main theorem implies that every "weak" steady-state solution in the sense of Leray is, in fact, physically reasonable in the sense of Finn, for data of arbitrary "size". Such a theorem improves and generalizes an analogous famous result of Babenko (Math USSR Sb 20:1-25, 1973), obtained in the case ω = 0.
UR - http://www.scopus.com/inward/record.url?scp=79952706151&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79952706151&partnerID=8YFLogxK
U2 - 10.1007/s00205-010-0350-6
DO - 10.1007/s00205-010-0350-6
M3 - Article
AN - SCOPUS:79952706151
VL - 200
SP - 21
EP - 58
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
SN - 0003-9527
IS - 1
ER -