Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data

We prove the existence of unique solutions for the 3D incompressible Navier-Stokes equations in an exterior domain with small boundary data which do not necessarily decay in time. As a corollary, the existence of unique small time-periodic solutions is shown. We next show that the spatial asymptotic...

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Veröffentlicht in:	Communications in partial differential equations 2012-10, Vol.37 (10), p.1717-1753
Hauptverfasser:	Kang, Kyungkuen, Miura, Hideyuki, Tsai, Tai-Peng
Format:	Artikel
Sprache:	eng
Schlagworte:	Discretely self-similar Exterior domain Fluid dynamics Landau solution Navier-Stokes equations Spatial asymptotics Stability Studies Time asymptotics Time-periodic
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