Steady-State Navier–Stokes Flows Past a Rotating Body: Leray Solutions are Physically Reasonable

摘要: A rigid body, \({\fancyscript{B}}\), moves in a Navier–Stokes liquid, \({\fancyscript{L}}\), filling the whole space outside \({\fancyscript{B}}\). We assume that, when referred to frame attached nonzero velocity of center mass, ξ, and angular velocity, ω, \({\fancyscript{B}}\) are constant that flow \({\fancyscript{L}}\) is steady. Our main theorem implies every “weak” steady-state solution sense Leray is, fact, physically reasonable Finn, for data arbitrary “size”. Such improves generalizes an analogous famous result Babenko (Math USSR Sb 20:1–25, 1973), obtained case ω = 0.