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arxiv: 1201.2210 · v3 · pith:ID3XXTB2new · submitted 2012-01-11 · 🧮 math.AP · math-ph· math.MP· physics.flu-dyn

The sharp corner formation in 2d Euler dynamics of patches: infinite double exponential rate of merging

classification 🧮 math.AP math-phmath.MPphysics.flu-dyn
keywords doubledynamicseulerexponentialmergingpatchesrateconvergence
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For the 2d Euler dynamics of patches, we investigate the convergence to the singular stationary solutions in the presence of a regular strain. It is proved that the rate of merging can be made double exponential for all time.

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