On Singular Vortex Patches, II: Long-time dynamics
arXiv:1909.13555
Abstract
In a companion paper, we gave a detailed account of the well-posedness theory for singular vortex patches. Here, we discuss the long-time dynamics of some of the classes of vortex patches we showed to be globally well-posed in the companion work. In particular, we give examples of time-periodic behavior, cusp formation in infinite time at an exponential rate, and spiral formation in infinite time.
arXiv comment17 pages, 6 figures
References in corpus (5)
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- Uniformly rotating smooth solutions for the incompressible 2D Euler equations
- Finite-time Singularity Formation for Strong Solutions to the Boussinesq System
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- On Singular Vortex Patches, I: Well-posedness Issues