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Inviscid damping without derivatives near Couette flow

Guo, Dengjun et al.
arXiv (All) · Papers
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analysis-of-pdes
We study the long-time dynamics near Couette flow for the 2D Euler equations in unbounded geometries. We identify a mechanism of nonlinear inviscid damping at Yudovich regularity, distinct from classical phase mixing: velocity decay driven by spatial evacuation of vorticity. The mechanism leads to
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