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

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

2012-01-11

arxiv.org/abs/1201.2210v1

Mathematics

Analysis of PDEs

Scientific paper

For the 2d Euler dynamics of patches, we investigate the convergence to the
singular stationary solutions in the presence of a regular strain. The rate of
merging as well as the growth of curvature are shown to be double exponential.

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