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arxiv: 1710.01029 · v1 · pith:WTRV66TOnew · submitted 2017-10-03 · 🧮 math.AP

On stationary two-dimensional flows around a fast rotating disk

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keywords rotatingarounddiskflowsstationarytwo-dimensionalaxisymmetrizationboundary
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We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, and qualitative effects of a large rotation are described precisely by exhibiting a boundary layer structure and an axisymmetrization of the flow.

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