Stationary Solutions of the Navier-Stokes Equations in a Half-Plane Down-Stream of an Object: Universality of the Wake
نویسنده
چکیده
We consider stationary solutions of the incompressible Navier-Stokes equations for an exterior domain in two dimensions. We prove that asymptotically in the down–stream direction, the leading order deviation from the constant flow is universal, i.e. independent of the details of the domain. To get this result, we show that the (elliptic) Navier–Stokes equations can be interpreted as a dynamical system, the down–stream direction playing the role of time, which shares some aspects with a parabolic PDE.
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تاریخ انتشار 2001