Exponential Decay of the Vorticity in the Steady-State Flow of a Viscous Liquid Past a Rotating Body

摘要: Consider the flow of a Navier–Stokes liquid past body rotating with prescribed constant angular velocity, \({\omega}\), and assume that motion is steady respect to body-fixed frame. In this paper we show vorticity field associated every “weak” solution corresponding data arbitrary “size” (Leray Solution) must decay exponentially fast outside wake region at sufficiently large distances from body. Our result improves generalizes in non-trivial way famous results by Clark (Indiana Univ Math J 20:633–654, 1971) Babenko Vasil’ev (J Appl Mech 37:651–665, 1973) obtained case \({\omega=0}\).