English

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

Analysis of PDEs 2013-01-22 v3 Mathematical Physics math.MP Fluid Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.1201.2210,
  title  = {The sharp corner formation in 2d Euler dynamics of patches: infinite double exponential rate of merging},
  author = {Sergey A. Denisov},
  journal= {arXiv preprint arXiv:1201.2210},
  year   = {2013}
}

Comments

The exposition is improved and the strain is made more regular