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.
|Number of pages||38|
|Journal||Archive for Rational Mechanics and Analysis|
|Publication status||Published - 2011 Apr|
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Mechanical Engineering