On Singular Vortex Patches, II: Long-time dynamics

30 Sep 2019  ·  Elgindi Tarek M., Jeong In-Jee ·

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. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Analysis of PDEs